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Finding the Fourth Proportional to 38,390, 57,592.14 and 13,429.46

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Solution

The fourth proportional to 38,390, 57,592.14 and 13,429.46 is: 20,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,390 : 57,592.14 = 13,429.46 : x
  2. Step 2: Convert to fraction form
    38,390/57,592.14 = 13,429.46/x
  3. Step 3: Cross multiply
    38,390x = 57,592.14 × 13,429.46
  4. Step 4: Simplify right side
    38,390x = 773,431,340.44
  5. Step 5: Solve for x
    x = 773,431,340.44/38,390
  6. Step 6: Final answer
    x = 20,146.69

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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.