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Finding the Fourth Proportional to 82,291.88, 123,412.28 and 29,694.52

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Solution

The fourth proportional to 82,291.88, 123,412.28 and 29,694.52 is: 44,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,291.88 : 123,412.28 = 29,694.52 : x
  2. Step 2: Convert to fraction form
    82,291.88/123,412.28 = 29,694.52/x
  3. Step 3: Cross multiply
    82,291.88x = 123,412.28 × 29,694.52
  4. Step 4: Simplify right side
    82,291.88x = 3,664,668,416.71
  5. Step 5: Solve for x
    x = 3,664,668,416.71/82,291.88
  6. Step 6: Final answer
    x = 44,532.56

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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.