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Finding the Fourth Proportional to 32,502.38, 48,753.57 and 7,878.38

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Solution

The fourth proportional to 32,502.38, 48,753.57 and 7,878.38 is: 11,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,502.38 : 48,753.57 = 7,878.38 : x
  2. Step 2: Convert to fraction form
    32,502.38/48,753.57 = 7,878.38/x
  3. Step 3: Cross multiply
    32,502.38x = 48,753.57 × 7,878.38
  4. Step 4: Simplify right side
    32,502.38x = 384,098,907.05
  5. Step 5: Solve for x
    x = 384,098,907.05/32,502.38
  6. Step 6: Final answer
    x = 11,817.56

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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.