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Finding the Fourth Proportional to 47,792.62, 71,689.34 and 16,606

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Solution

The fourth proportional to 47,792.62, 71,689.34 and 16,606 is: 24,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792.62 : 71,689.34 = 16,606 : x
  2. Step 2: Convert to fraction form
    47,792.62/71,689.34 = 16,606/x
  3. Step 3: Cross multiply
    47,792.62x = 71,689.34 × 16,606
  4. Step 4: Simplify right side
    47,792.62x = 1,190,473,180.04
  5. Step 5: Solve for x
    x = 1,190,473,180.04/47,792.62
  6. Step 6: Final answer
    x = 24,909.14

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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.