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Finding the Fourth Proportional to 38,521.60, 57,796.16 and 15,164.80

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Solution

The fourth proportional to 38,521.60, 57,796.16 and 15,164.80 is: 22,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,521.60 : 57,796.16 = 15,164.80 : x
  2. Step 2: Convert to fraction form
    38,521.60/57,796.16 = 15,164.80/x
  3. Step 3: Cross multiply
    38,521.60x = 57,796.16 × 15,164.80
  4. Step 4: Simplify right side
    38,521.60x = 876,467,207.17
  5. Step 5: Solve for x
    x = 876,467,207.17/38,521.60
  6. Step 6: Final answer
    x = 22,752.62

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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.