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Finding the Fourth Proportional to 72,386.16, 108,552.56 and 24,989.14

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Solution

The fourth proportional to 72,386.16, 108,552.56 and 24,989.14 is: 37,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,386.16 : 108,552.56 = 24,989.14 : x
  2. Step 2: Convert to fraction form
    72,386.16/108,552.56 = 24,989.14/x
  3. Step 3: Cross multiply
    72,386.16x = 108,552.56 × 24,989.14
  4. Step 4: Simplify right side
    72,386.16x = 2,712,635,129.94
  5. Step 5: Solve for x
    x = 2,712,635,129.94/72,386.16
  6. Step 6: Final answer
    x = 37,474.50

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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.