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Finding the Fourth Proportional to 83,764.64, 125,335.84 and 46,854.56

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Solution

The fourth proportional to 83,764.64, 125,335.84 and 46,854.56 is: 70,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764.64 : 125,335.84 = 46,854.56 : x
  2. Step 2: Convert to fraction form
    83,764.64/125,335.84 = 46,854.56/x
  3. Step 3: Cross multiply
    83,764.64x = 125,335.84 × 46,854.56
  4. Step 4: Simplify right side
    83,764.64x = 5,872,555,635.43
  5. Step 5: Solve for x
    x = 5,872,555,635.43/83,764.64
  6. Step 6: Final answer
    x = 70,107.81

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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.