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Finding the Fourth Proportional to 71,724.76, 98,978.76 and 39,892.97

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Solution

The fourth proportional to 71,724.76, 98,978.76 and 39,892.97 is: 55,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724.76 : 98,978.76 = 39,892.97 : x
  2. Step 2: Convert to fraction form
    71,724.76/98,978.76 = 39,892.97/x
  3. Step 3: Cross multiply
    71,724.76x = 98,978.76 × 39,892.97
  4. Step 4: Simplify right side
    71,724.76x = 3,948,556,950.76
  5. Step 5: Solve for x
    x = 3,948,556,950.76/71,724.76
  6. Step 6: Final answer
    x = 55,051.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.