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Finding the Fourth Proportional to 38,185.92, 57,217.32 and 20,664

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Solution

The fourth proportional to 38,185.92, 57,217.32 and 20,664 is: 30,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,185.92 : 57,217.32 = 20,664 : x
  2. Step 2: Convert to fraction form
    38,185.92/57,217.32 = 20,664/x
  3. Step 3: Cross multiply
    38,185.92x = 57,217.32 × 20,664
  4. Step 4: Simplify right side
    38,185.92x = 1,182,338,700.48
  5. Step 5: Solve for x
    x = 1,182,338,700.48/38,185.92
  6. Step 6: Final answer
    x = 30,962.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.