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Finding the Fourth Proportional to 82,265.20, 123,397.80 and 49,022.80

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Solution

The fourth proportional to 82,265.20, 123,397.80 and 49,022.80 is: 73,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,265.20 : 123,397.80 = 49,022.80 : x
  2. Step 2: Convert to fraction form
    82,265.20/123,397.80 = 49,022.80/x
  3. Step 3: Cross multiply
    82,265.20x = 123,397.80 × 49,022.80
  4. Step 4: Simplify right side
    82,265.20x = 6,049,305,669.84
  5. Step 5: Solve for x
    x = 6,049,305,669.84/82,265.20
  6. Step 6: Final answer
    x = 73,534.20

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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.