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Finding the Fourth Proportional to 47,894, 71,841 and 15,062

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Solution

The fourth proportional to 47,894, 71,841 and 15,062 is: 22,593

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,894 : 71,841 = 15,062 : x
  2. Step 2: Convert to fraction form
    47,894/71,841 = 15,062/x
  3. Step 3: Cross multiply
    47,894x = 71,841 × 15,062
  4. Step 4: Simplify right side
    47,894x = 1,082,069,142
  5. Step 5: Solve for x
    x = 1,082,069,142/47,894
  6. Step 6: Final answer
    x = 22,593

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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.