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Finding the Fourth Proportional to 38,186.32, 57,250.68 and 25,042

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Solution

The fourth proportional to 38,186.32, 57,250.68 and 25,042 is: 37,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,186.32 : 57,250.68 = 25,042 : x
  2. Step 2: Convert to fraction form
    38,186.32/57,250.68 = 25,042/x
  3. Step 3: Cross multiply
    38,186.32x = 57,250.68 × 25,042
  4. Step 4: Simplify right side
    38,186.32x = 1,433,671,528.56
  5. Step 5: Solve for x
    x = 1,433,671,528.56/38,186.32
  6. Step 6: Final answer
    x = 37,544.11

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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.