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Finding the Fourth Proportional to 82,706.20, 124,059.30 and 41,147.80

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Solution

The fourth proportional to 82,706.20, 124,059.30 and 41,147.80 is: 61,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,706.20 : 124,059.30 = 41,147.80 : x
  2. Step 2: Convert to fraction form
    82,706.20/124,059.30 = 41,147.80/x
  3. Step 3: Cross multiply
    82,706.20x = 124,059.30 × 41,147.80
  4. Step 4: Simplify right side
    82,706.20x = 5,104,767,264.54
  5. Step 5: Solve for x
    x = 5,104,767,264.54/82,706.20
  6. Step 6: Final answer
    x = 61,721.70

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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.