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Finding the Fourth Proportional to 83,927.20, 125,599.20 and 57,683.20

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Solution

The fourth proportional to 83,927.20, 125,599.20 and 57,683.20 is: 86,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,927.20 : 125,599.20 = 57,683.20 : x
  2. Step 2: Convert to fraction form
    83,927.20/125,599.20 = 57,683.20/x
  3. Step 3: Cross multiply
    83,927.20x = 125,599.20 × 57,683.20
  4. Step 4: Simplify right side
    83,927.20x = 7,244,963,773.44
  5. Step 5: Solve for x
    x = 7,244,963,773.44/83,927.20
  6. Step 6: Final answer
    x = 86,324.38

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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.