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Finding the Fourth Proportional to 72,049.73, 99,428.24 and 41,842.47

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Solution

The fourth proportional to 72,049.73, 99,428.24 and 41,842.47 is: 57,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,049.73 : 99,428.24 = 41,842.47 : x
  2. Step 2: Convert to fraction form
    72,049.73/99,428.24 = 41,842.47/x
  3. Step 3: Cross multiply
    72,049.73x = 99,428.24 × 41,842.47
  4. Step 4: Simplify right side
    72,049.73x = 4,160,323,149.35
  5. Step 5: Solve for x
    x = 4,160,323,149.35/72,049.73
  6. Step 6: Final answer
    x = 57,742.38

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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.