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Finding the Fourth Proportional to 60,442.31, 83,410.46 and 33,584.20

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Solution

The fourth proportional to 60,442.31, 83,410.46 and 33,584.20 is: 46,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,442.31 : 83,410.46 = 33,584.20 : x
  2. Step 2: Convert to fraction form
    60,442.31/83,410.46 = 33,584.20/x
  3. Step 3: Cross multiply
    60,442.31x = 83,410.46 × 33,584.20
  4. Step 4: Simplify right side
    60,442.31x = 2,801,273,446.17
  5. Step 5: Solve for x
    x = 2,801,273,446.17/60,442.31
  6. Step 6: Final answer
    x = 46,346.23

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