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Finding the Fourth Proportional to 47,732.76, 65,871.20 and 26,514

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Solution

The fourth proportional to 47,732.76, 65,871.20 and 26,514 is: 36,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,732.76 : 65,871.20 = 26,514 : x
  2. Step 2: Convert to fraction form
    47,732.76/65,871.20 = 26,514/x
  3. Step 3: Cross multiply
    47,732.76x = 65,871.20 × 26,514
  4. Step 4: Simplify right side
    47,732.76x = 1,746,508,996.80
  5. Step 5: Solve for x
    x = 1,746,508,996.80/47,732.76
  6. Step 6: Final answer
    x = 36,589.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.