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Finding the Fourth Proportional to 41,829.32, 57,724.54 and 22,709.10

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Solution

The fourth proportional to 41,829.32, 57,724.54 and 22,709.10 is: 31,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,829.32 : 57,724.54 = 22,709.10 : x
  2. Step 2: Convert to fraction form
    41,829.32/57,724.54 = 22,709.10/x
  3. Step 3: Cross multiply
    41,829.32x = 57,724.54 × 22,709.10
  4. Step 4: Simplify right side
    41,829.32x = 1,310,872,073.20
  5. Step 5: Solve for x
    x = 1,310,872,073.20/41,829.32
  6. Step 6: Final answer
    x = 31,338.59

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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.