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Finding the Fourth Proportional to 38,143.47, 57,231 and 20,592.66

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Solution

The fourth proportional to 38,143.47, 57,231 and 20,592.66 is: 30,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,143.47 : 57,231 = 20,592.66 : x
  2. Step 2: Convert to fraction form
    38,143.47/57,231 = 20,592.66/x
  3. Step 3: Cross multiply
    38,143.47x = 57,231 × 20,592.66
  4. Step 4: Simplify right side
    38,143.47x = 1,178,538,524.46
  5. Step 5: Solve for x
    x = 1,178,538,524.46/38,143.47
  6. Step 6: Final answer
    x = 30,897.52

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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.