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Finding the Fourth Proportional to 47,466, 71,189.28 and 24,079.68

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Solution

The fourth proportional to 47,466, 71,189.28 and 24,079.68 is: 36,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,466 : 71,189.28 = 24,079.68 : x
  2. Step 2: Convert to fraction form
    47,466/71,189.28 = 24,079.68/x
  3. Step 3: Cross multiply
    47,466x = 71,189.28 × 24,079.68
  4. Step 4: Simplify right side
    47,466x = 1,714,215,081.83
  5. Step 5: Solve for x
    x = 1,714,215,081.83/47,466
  6. Step 6: Final answer
    x = 36,114.59

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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.