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Finding the Fourth Proportional to 75,668.60, 113,515.14 and 25,753.16

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Solution

The fourth proportional to 75,668.60, 113,515.14 and 25,753.16 is: 38,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,668.60 : 113,515.14 = 25,753.16 : x
  2. Step 2: Convert to fraction form
    75,668.60/113,515.14 = 25,753.16/x
  3. Step 3: Cross multiply
    75,668.60x = 113,515.14 × 25,753.16
  4. Step 4: Simplify right side
    75,668.60x = 2,923,373,562.84
  5. Step 5: Solve for x
    x = 2,923,373,562.84/75,668.60
  6. Step 6: Final answer
    x = 38,633.91

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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.