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Finding the Fourth Proportional to 82,940.10, 124,410.15 and 47,861.70

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Solution

The fourth proportional to 82,940.10, 124,410.15 and 47,861.70 is: 71,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,940.10 : 124,410.15 = 47,861.70 : x
  2. Step 2: Convert to fraction form
    82,940.10/124,410.15 = 47,861.70/x
  3. Step 3: Cross multiply
    82,940.10x = 124,410.15 × 47,861.70
  4. Step 4: Simplify right side
    82,940.10x = 5,954,481,276.26
  5. Step 5: Solve for x
    x = 5,954,481,276.26/82,940.10
  6. Step 6: Final answer
    x = 71,792.55

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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.