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Finding the Fourth Proportional to 38,057.52, 52,487.16 and 22,946.88

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Solution

The fourth proportional to 38,057.52, 52,487.16 and 22,946.88 is: 31,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.52 : 52,487.16 = 22,946.88 : x
  2. Step 2: Convert to fraction form
    38,057.52/52,487.16 = 22,946.88/x
  3. Step 3: Cross multiply
    38,057.52x = 52,487.16 × 22,946.88
  4. Step 4: Simplify right side
    38,057.52x = 1,204,416,562.06
  5. Step 5: Solve for x
    x = 1,204,416,562.06/38,057.52
  6. Step 6: Final answer
    x = 31,647.27

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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.