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Finding the Fourth Proportional to 85,266.40, 127,898.40 and 38,519.20

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Solution

The fourth proportional to 85,266.40, 127,898.40 and 38,519.20 is: 57,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,266.40 : 127,898.40 = 38,519.20 : x
  2. Step 2: Convert to fraction form
    85,266.40/127,898.40 = 38,519.20/x
  3. Step 3: Cross multiply
    85,266.40x = 127,898.40 × 38,519.20
  4. Step 4: Simplify right side
    85,266.40x = 4,926,544,049.28
  5. Step 5: Solve for x
    x = 4,926,544,049.28/85,266.40
  6. Step 6: Final answer
    x = 57,778.26

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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.