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Finding the Fourth Proportional to 38,442, 57,665.16 and 10,742.16

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Solution

The fourth proportional to 38,442, 57,665.16 and 10,742.16 is: 16,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442 : 57,665.16 = 10,742.16 : x
  2. Step 2: Convert to fraction form
    38,442/57,665.16 = 10,742.16/x
  3. Step 3: Cross multiply
    38,442x = 57,665.16 × 10,742.16
  4. Step 4: Simplify right side
    38,442x = 619,448,375.15
  5. Step 5: Solve for x
    x = 619,448,375.15/38,442
  6. Step 6: Final answer
    x = 16,113.84

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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.