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Finding the Fourth Proportional to 84,616.80, 126,838.80 and 49,538.40

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Solution

The fourth proportional to 84,616.80, 126,838.80 and 49,538.40 is: 74,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,616.80 : 126,838.80 = 49,538.40 : x
  2. Step 2: Convert to fraction form
    84,616.80/126,838.80 = 49,538.40/x
  3. Step 3: Cross multiply
    84,616.80x = 126,838.80 × 49,538.40
  4. Step 4: Simplify right side
    84,616.80x = 6,283,391,209.92
  5. Step 5: Solve for x
    x = 6,283,391,209.92/84,616.80
  6. Step 6: Final answer
    x = 74,257.02

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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.