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Finding the Fourth Proportional to 48,586, 72,714.38 and 29,877.88

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Solution

The fourth proportional to 48,586, 72,714.38 and 29,877.88 is: 44,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,586 : 72,714.38 = 29,877.88 : x
  2. Step 2: Convert to fraction form
    48,586/72,714.38 = 29,877.88/x
  3. Step 3: Cross multiply
    48,586x = 72,714.38 × 29,877.88
  4. Step 4: Simplify right side
    48,586x = 2,172,551,519.91
  5. Step 5: Solve for x
    x = 2,172,551,519.91/48,586
  6. Step 6: Final answer
    x = 44,715.59

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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.