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Finding the Fourth Proportional to 67,978,538.44, 102,014,899.98 and 27,033,781.48

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Solution

The fourth proportional to 67,978,538.44, 102,014,899.98 and 27,033,781.48 is: 40,569,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,978,538.44 : 102,014,899.98 = 27,033,781.48 : x
  2. Step 2: Convert to fraction form
    67,978,538.44/102,014,899.98 = 27,033,781.48/x
  3. Step 3: Cross multiply
    67,978,538.44x = 102,014,899.98 × 27,033,781.48
  4. Step 4: Simplify right side
    67,978,538.44x = 2,757,848,513,763,376.50
  5. Step 5: Solve for x
    x = 2,757,848,513,763,376.50/67,978,538.44
  6. Step 6: Final answer
    x = 40,569,399.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.