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Finding the Fourth Proportional to 75,919, 113,947.92 and 38,504.92

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Solution

The fourth proportional to 75,919, 113,947.92 and 38,504.92 is: 57,792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,919 : 113,947.92 = 38,504.92 : x
  2. Step 2: Convert to fraction form
    75,919/113,947.92 = 38,504.92/x
  3. Step 3: Cross multiply
    75,919x = 113,947.92 × 38,504.92
  4. Step 4: Simplify right side
    75,919x = 4,387,555,543.77
  5. Step 5: Solve for x
    x = 4,387,555,543.77/75,919
  6. Step 6: Final answer
    x = 57,792.59

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1.5x scale

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.