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Finding the Fourth Proportional to 28,502.48, 42,753.24 and 10,034

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Solution

The fourth proportional to 28,502.48, 42,753.24 and 10,034 is: 15,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,502.48 : 42,753.24 = 10,034 : x
  2. Step 2: Convert to fraction form
    28,502.48/42,753.24 = 10,034/x
  3. Step 3: Cross multiply
    28,502.48x = 42,753.24 × 10,034
  4. Step 4: Simplify right side
    28,502.48x = 428,986,010.16
  5. Step 5: Solve for x
    x = 428,986,010.16/28,502.48
  6. Step 6: Final answer
    x = 15,050.83

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Why These Related Problems?

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