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Finding the Fourth Proportional to 31,549.50, 47,324.25 and 8,176.14

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Solution

The fourth proportional to 31,549.50, 47,324.25 and 8,176.14 is: 12,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.50 : 47,324.25 = 8,176.14 : x
  2. Step 2: Convert to fraction form
    31,549.50/47,324.25 = 8,176.14/x
  3. Step 3: Cross multiply
    31,549.50x = 47,324.25 × 8,176.14
  4. Step 4: Simplify right side
    31,549.50x = 386,929,693.40
  5. Step 5: Solve for x
    x = 386,929,693.40/31,549.50
  6. Step 6: Final answer
    x = 12,264.21

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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.