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Finding the Fourth Proportional to 82,882.86, 124,432.68 and 49,210.34

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Solution

The fourth proportional to 82,882.86, 124,432.68 and 49,210.34 is: 73,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,882.86 : 124,432.68 = 49,210.34 : x
  2. Step 2: Convert to fraction form
    82,882.86/124,432.68 = 49,210.34/x
  3. Step 3: Cross multiply
    82,882.86x = 124,432.68 × 49,210.34
  4. Step 4: Simplify right side
    82,882.86x = 6,123,374,489.91
  5. Step 5: Solve for x
    x = 6,123,374,489.91/82,882.86
  6. Step 6: Final answer
    x = 73,879.86

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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.