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Finding the Fourth Proportional to 75,920.64, 113,842.01 and 44,392.30

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Solution

The fourth proportional to 75,920.64, 113,842.01 and 44,392.30 is: 66,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,920.64 : 113,842.01 = 44,392.30 : x
  2. Step 2: Convert to fraction form
    75,920.64/113,842.01 = 44,392.30/x
  3. Step 3: Cross multiply
    75,920.64x = 113,842.01 × 44,392.30
  4. Step 4: Simplify right side
    75,920.64x = 5,053,708,660.52
  5. Step 5: Solve for x
    x = 5,053,708,660.52/75,920.64
  6. Step 6: Final answer
    x = 66,565.68

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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.