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Finding the Fourth Proportional to 103,967.32, 155,960.81 and 29,087.48

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Solution

The fourth proportional to 103,967.32, 155,960.81 and 29,087.48 is: 43,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,967.32 : 155,960.81 = 29,087.48 : x
  2. Step 2: Convert to fraction form
    103,967.32/155,960.81 = 29,087.48/x
  3. Step 3: Cross multiply
    103,967.32x = 155,960.81 × 29,087.48
  4. Step 4: Simplify right side
    103,967.32x = 4,536,506,941.66
  5. Step 5: Solve for x
    x = 4,536,506,941.66/103,967.32
  6. Step 6: Final answer
    x = 43,633.97

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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.