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Finding the Fourth Proportional to 83,694.04, 115,517.86 and 47,904.80

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Solution

The fourth proportional to 83,694.04, 115,517.86 and 47,904.80 is: 66,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,694.04 : 115,517.86 = 47,904.80 : x
  2. Step 2: Convert to fraction form
    83,694.04/115,517.86 = 47,904.80/x
  3. Step 3: Cross multiply
    83,694.04x = 115,517.86 × 47,904.80
  4. Step 4: Simplify right side
    83,694.04x = 5,533,859,282.38
  5. Step 5: Solve for x
    x = 5,533,859,282.38/83,694.04
  6. Step 6: Final answer
    x = 66,120.11

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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.