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Finding the Fourth Proportional to 82,079.40, 123,119.10 and 54,377.40

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Solution

The fourth proportional to 82,079.40, 123,119.10 and 54,377.40 is: 81,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,079.40 : 123,119.10 = 54,377.40 : x
  2. Step 2: Convert to fraction form
    82,079.40/123,119.10 = 54,377.40/x
  3. Step 3: Cross multiply
    82,079.40x = 123,119.10 × 54,377.40
  4. Step 4: Simplify right side
    82,079.40x = 6,694,896,548.34
  5. Step 5: Solve for x
    x = 6,694,896,548.34/82,079.40
  6. Step 6: Final answer
    x = 81,566.10

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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.