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Finding the Fourth Proportional to 83,902.84, 115,785.84 and 46,179.52

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Solution

The fourth proportional to 83,902.84, 115,785.84 and 46,179.52 is: 63,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,902.84 : 115,785.84 = 46,179.52 : x
  2. Step 2: Convert to fraction form
    83,902.84/115,785.84 = 46,179.52/x
  3. Step 3: Cross multiply
    83,902.84x = 115,785.84 × 46,179.52
  4. Step 4: Simplify right side
    83,902.84x = 5,346,934,514.00
  5. Step 5: Solve for x
    x = 5,346,934,514.00/83,902.84
  6. Step 6: Final answer
    x = 63,727.69

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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.