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Finding the Fourth Proportional to 102,096.96, 153,121.92 and 38,924.28

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Solution

The fourth proportional to 102,096.96, 153,121.92 and 38,924.28 is: 58,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096.96 : 153,121.92 = 38,924.28 : x
  2. Step 2: Convert to fraction form
    102,096.96/153,121.92 = 38,924.28/x
  3. Step 3: Cross multiply
    102,096.96x = 153,121.92 × 38,924.28
  4. Step 4: Simplify right side
    102,096.96x = 5,960,160,488.22
  5. Step 5: Solve for x
    x = 5,960,160,488.22/102,096.96
  6. Step 6: Final answer
    x = 58,377.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.