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Finding the Fourth Proportional to 82,815.66, 124,063.11 and 49,561.92

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Solution

The fourth proportional to 82,815.66, 124,063.11 and 49,561.92 is: 74,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,815.66 : 124,063.11 = 49,561.92 : x
  2. Step 2: Convert to fraction form
    82,815.66/124,063.11 = 49,561.92/x
  3. Step 3: Cross multiply
    82,815.66x = 124,063.11 × 49,561.92
  4. Step 4: Simplify right side
    82,815.66x = 6,148,805,932.77
  5. Step 5: Solve for x
    x = 6,148,805,932.77/82,815.66
  6. Step 6: Final answer
    x = 74,246.90

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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.