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Finding the Fourth Proportional to 40,776.90, 61,137.81 and 14,116.02

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Solution

The fourth proportional to 40,776.90, 61,137.81 and 14,116.02 is: 21,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,776.90 : 61,137.81 = 14,116.02 : x
  2. Step 2: Convert to fraction form
    40,776.90/61,137.81 = 14,116.02/x
  3. Step 3: Cross multiply
    40,776.90x = 61,137.81 × 14,116.02
  4. Step 4: Simplify right side
    40,776.90x = 863,022,548.72
  5. Step 5: Solve for x
    x = 863,022,548.72/40,776.90
  6. Step 6: Final answer
    x = 21,164.50

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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.