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Finding the Fourth Proportional to 71,414.79, 107,129.29 and 26,448.18

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Solution

The fourth proportional to 71,414.79, 107,129.29 and 26,448.18 is: 39,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414.79 : 107,129.29 = 26,448.18 : x
  2. Step 2: Convert to fraction form
    71,414.79/107,129.29 = 26,448.18/x
  3. Step 3: Cross multiply
    71,414.79x = 107,129.29 × 26,448.18
  4. Step 4: Simplify right side
    71,414.79x = 2,833,374,612.95
  5. Step 5: Solve for x
    x = 2,833,374,612.95/71,414.79
  6. Step 6: Final answer
    x = 39,674.90

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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.