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Finding the Fourth Proportional to 55,432.34, 83,145.98 and 20,369.42

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Solution

The fourth proportional to 55,432.34, 83,145.98 and 20,369.42 is: 30,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,432.34 : 83,145.98 = 20,369.42 : x
  2. Step 2: Convert to fraction form
    55,432.34/83,145.98 = 20,369.42/x
  3. Step 3: Cross multiply
    55,432.34x = 83,145.98 × 20,369.42
  4. Step 4: Simplify right side
    55,432.34x = 1,693,635,387.93
  5. Step 5: Solve for x
    x = 1,693,635,387.93/55,432.34
  6. Step 6: Final answer
    x = 30,553.20

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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.