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Finding the Fourth Proportional to 47,552, 71,328 and 14,720

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Solution

The fourth proportional to 47,552, 71,328 and 14,720 is: 22,080

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,552 : 71,328 = 14,720 : x
  2. Step 2: Convert to fraction form
    47,552/71,328 = 14,720/x
  3. Step 3: Cross multiply
    47,552x = 71,328 × 14,720
  4. Step 4: Simplify right side
    47,552x = 1,049,948,160
  5. Step 5: Solve for x
    x = 1,049,948,160/47,552
  6. Step 6: Final answer
    x = 22,080

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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.