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Finding the Fourth Proportional to 62,442.36, 86,200.20 and 38,583

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Solution

The fourth proportional to 62,442.36, 86,200.20 and 38,583 is: 53,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,442.36 : 86,200.20 = 38,583 : x
  2. Step 2: Convert to fraction form
    62,442.36/86,200.20 = 38,583/x
  3. Step 3: Cross multiply
    62,442.36x = 86,200.20 × 38,583
  4. Step 4: Simplify right side
    62,442.36x = 3,325,862,316.60
  5. Step 5: Solve for x
    x = 3,325,862,316.60/62,442.36
  6. Step 6: Final answer
    x = 53,262.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.