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Finding the Fourth Proportional to 32,502.89, 48,756.15 and 9,127.50

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Solution

The fourth proportional to 32,502.89, 48,756.15 and 9,127.50 is: 13,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,502.89 : 48,756.15 = 9,127.50 : x
  2. Step 2: Convert to fraction form
    32,502.89/48,756.15 = 9,127.50/x
  3. Step 3: Cross multiply
    32,502.89x = 48,756.15 × 9,127.50
  4. Step 4: Simplify right side
    32,502.89x = 445,021,759.13
  5. Step 5: Solve for x
    x = 445,021,759.13/32,502.89
  6. Step 6: Final answer
    x = 13,691.76

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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.