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Finding the Fourth Proportional to 71,885.30, 107,875.94 and 25,138.17

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Solution

The fourth proportional to 71,885.30, 107,875.94 and 25,138.17 is: 37,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,885.30 : 107,875.94 = 25,138.17 : x
  2. Step 2: Convert to fraction form
    71,885.30/107,875.94 = 25,138.17/x
  3. Step 3: Cross multiply
    71,885.30x = 107,875.94 × 25,138.17
  4. Step 4: Simplify right side
    71,885.30x = 2,711,803,592.94
  5. Step 5: Solve for x
    x = 2,711,803,592.94/71,885.30
  6. Step 6: Final answer
    x = 37,724.04

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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.