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Finding the Fourth Proportional to 82,149.88, 113,366.70 and 46,339.78

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Solution

The fourth proportional to 82,149.88, 113,366.70 and 46,339.78 is: 63,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,149.88 : 113,366.70 = 46,339.78 : x
  2. Step 2: Convert to fraction form
    82,149.88/113,366.70 = 46,339.78/x
  3. Step 3: Cross multiply
    82,149.88x = 113,366.70 × 46,339.78
  4. Step 4: Simplify right side
    82,149.88x = 5,253,387,937.33
  5. Step 5: Solve for x
    x = 5,253,387,937.33/82,149.88
  6. Step 6: Final answer
    x = 63,948.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.