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Finding the Fourth Proportional to 71,714.94, 107,586.10 and 27,337.98

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Solution

The fourth proportional to 71,714.94, 107,586.10 and 27,337.98 is: 41,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,714.94 : 107,586.10 = 27,337.98 : x
  2. Step 2: Convert to fraction form
    71,714.94/107,586.10 = 27,337.98/x
  3. Step 3: Cross multiply
    71,714.94x = 107,586.10 × 27,337.98
  4. Step 4: Simplify right side
    71,714.94x = 2,941,186,650.08
  5. Step 5: Solve for x
    x = 2,941,186,650.08/71,714.94
  6. Step 6: Final answer
    x = 41,012.19

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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.