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Finding the Fourth Proportional to 38,356.20, 57,533.76 and 10,654.20

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Solution

The fourth proportional to 38,356.20, 57,533.76 and 10,654.20 is: 15,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,356.20 : 57,533.76 = 10,654.20 : x
  2. Step 2: Convert to fraction form
    38,356.20/57,533.76 = 10,654.20/x
  3. Step 3: Cross multiply
    38,356.20x = 57,533.76 × 10,654.20
  4. Step 4: Simplify right side
    38,356.20x = 612,976,185.79
  5. Step 5: Solve for x
    x = 612,976,185.79/38,356.20
  6. Step 6: Final answer
    x = 15,981.15

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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.