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Finding the Fourth Proportional to 38,076.24, 57,071.88 and 15,882.24

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Solution

The fourth proportional to 38,076.24, 57,071.88 and 15,882.24 is: 23,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076.24 : 57,071.88 = 15,882.24 : x
  2. Step 2: Convert to fraction form
    38,076.24/57,071.88 = 15,882.24/x
  3. Step 3: Cross multiply
    38,076.24x = 57,071.88 × 15,882.24
  4. Step 4: Simplify right side
    38,076.24x = 906,429,295.41
  5. Step 5: Solve for x
    x = 906,429,295.41/38,076.24
  6. Step 6: Final answer
    x = 23,805.64

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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.