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Finding the Fourth Proportional to 82,079.48, 123,103.86 and 51,106.04

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Solution

The fourth proportional to 82,079.48, 123,103.86 and 51,106.04 is: 76,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,079.48 : 123,103.86 = 51,106.04 : x
  2. Step 2: Convert to fraction form
    82,079.48/123,103.86 = 51,106.04/x
  3. Step 3: Cross multiply
    82,079.48x = 123,103.86 × 51,106.04
  4. Step 4: Simplify right side
    82,079.48x = 6,291,350,793.31
  5. Step 5: Solve for x
    x = 6,291,350,793.31/82,079.48
  6. Step 6: Final answer
    x = 76,649.50

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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.