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Finding the Fourth Proportional to 82,706.80, 123,923.40 and 47,585.20

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Solution

The fourth proportional to 82,706.80, 123,923.40 and 47,585.20 is: 71,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,706.80 : 123,923.40 = 47,585.20 : x
  2. Step 2: Convert to fraction form
    82,706.80/123,923.40 = 47,585.20/x
  3. Step 3: Cross multiply
    82,706.80x = 123,923.40 × 47,585.20
  4. Step 4: Simplify right side
    82,706.80x = 5,896,919,773.68
  5. Step 5: Solve for x
    x = 5,896,919,773.68/82,706.80
  6. Step 6: Final answer
    x = 71,299.09

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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.