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Finding the Fourth Proportional to 27,002.50, 40,502.03 and 10,132.18

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Solution

The fourth proportional to 27,002.50, 40,502.03 and 10,132.18 is: 15,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.50 : 40,502.03 = 10,132.18 : x
  2. Step 2: Convert to fraction form
    27,002.50/40,502.03 = 10,132.18/x
  3. Step 3: Cross multiply
    27,002.50x = 40,502.03 × 10,132.18
  4. Step 4: Simplify right side
    27,002.50x = 410,373,858.33
  5. Step 5: Solve for x
    x = 410,373,858.33/27,002.50
  6. Step 6: Final answer
    x = 15,197.62

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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.