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Finding the Fourth Proportional to 38,295.42, 57,443.16 and 12,002.24

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Solution

The fourth proportional to 38,295.42, 57,443.16 and 12,002.24 is: 18,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,295.42 : 57,443.16 = 12,002.24 : x
  2. Step 2: Convert to fraction form
    38,295.42/57,443.16 = 12,002.24/x
  3. Step 3: Cross multiply
    38,295.42x = 57,443.16 × 12,002.24
  4. Step 4: Simplify right side
    38,295.42x = 689,446,592.68
  5. Step 5: Solve for x
    x = 689,446,592.68/38,295.42
  6. Step 6: Final answer
    x = 18,003.37

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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.