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Finding the Fourth Proportional to 47,589.48, 71,335.62 and 16,398

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Solution

The fourth proportional to 47,589.48, 71,335.62 and 16,398 is: 24,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,589.48 : 71,335.62 = 16,398 : x
  2. Step 2: Convert to fraction form
    47,589.48/71,335.62 = 16,398/x
  3. Step 3: Cross multiply
    47,589.48x = 71,335.62 × 16,398
  4. Step 4: Simplify right side
    47,589.48x = 1,169,761,496.76
  5. Step 5: Solve for x
    x = 1,169,761,496.76/47,589.48
  6. Step 6: Final answer
    x = 24,580.25

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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.