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Finding the Fourth Proportional to 87,586.38, 120,869.19 and 47,300.14

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Solution

The fourth proportional to 87,586.38, 120,869.19 and 47,300.14 is: 65,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,586.38 : 120,869.19 = 47,300.14 : x
  2. Step 2: Convert to fraction form
    87,586.38/120,869.19 = 47,300.14/x
  3. Step 3: Cross multiply
    87,586.38x = 120,869.19 × 47,300.14
  4. Step 4: Simplify right side
    87,586.38x = 5,717,129,306.51
  5. Step 5: Solve for x
    x = 5,717,129,306.51/87,586.38
  6. Step 6: Final answer
    x = 65,274.18

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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.