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Finding the Fourth Proportional to 83,656.64, 125,465.84 and 49,932.16

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Solution

The fourth proportional to 83,656.64, 125,465.84 and 49,932.16 is: 74,886.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,656.64 : 125,465.84 = 49,932.16 : x
  2. Step 2: Convert to fraction form
    83,656.64/125,465.84 = 49,932.16/x
  3. Step 3: Cross multiply
    83,656.64x = 125,465.84 × 49,932.16
  4. Step 4: Simplify right side
    83,656.64x = 6,264,780,397.41
  5. Step 5: Solve for x
    x = 6,264,780,397.41/83,656.64
  6. Step 6: Final answer
    x = 74,886.83

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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.