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Finding the Fourth Proportional to 32,123.20, 48,189.39 and 9,938.47

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Solution

The fourth proportional to 32,123.20, 48,189.39 and 9,938.47 is: 14,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.20 : 48,189.39 = 9,938.47 : x
  2. Step 2: Convert to fraction form
    32,123.20/48,189.39 = 9,938.47/x
  3. Step 3: Cross multiply
    32,123.20x = 48,189.39 × 9,938.47
  4. Step 4: Simplify right side
    32,123.20x = 478,928,806.83
  5. Step 5: Solve for x
    x = 478,928,806.83/32,123.20
  6. Step 6: Final answer
    x = 14,909.13

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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.