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Finding the Fourth Proportional to 82,866, 124,350.12 and 36,122.52

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Solution

The fourth proportional to 82,866, 124,350.12 and 36,122.52 is: 54,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866 : 124,350.12 = 36,122.52 : x
  2. Step 2: Convert to fraction form
    82,866/124,350.12 = 36,122.52/x
  3. Step 3: Cross multiply
    82,866x = 124,350.12 × 36,122.52
  4. Step 4: Simplify right side
    82,866x = 4,491,839,696.70
  5. Step 5: Solve for x
    x = 4,491,839,696.70/82,866
  6. Step 6: Final answer
    x = 54,206.06

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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.