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Finding the Fourth Proportional to 58,614.13, 87,670 and 54,359.74

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Solution

The fourth proportional to 58,614.13, 87,670 and 54,359.74 is: 81,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,614.13 : 87,670 = 54,359.74 : x
  2. Step 2: Convert to fraction form
    58,614.13/87,670 = 54,359.74/x
  3. Step 3: Cross multiply
    58,614.13x = 87,670 × 54,359.74
  4. Step 4: Simplify right side
    58,614.13x = 4,765,718,405.80
  5. Step 5: Solve for x
    x = 4,765,718,405.80/58,614.13
  6. Step 6: Final answer
    x = 81,306.65

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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.