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Finding the Fourth Proportional to 38,116, 57,177.96 and 10,414

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Solution

The fourth proportional to 38,116, 57,177.96 and 10,414 is: 15,622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,116 : 57,177.96 = 10,414 : x
  2. Step 2: Convert to fraction form
    38,116/57,177.96 = 10,414/x
  3. Step 3: Cross multiply
    38,116x = 57,177.96 × 10,414
  4. Step 4: Simplify right side
    38,116x = 595,451,275.44
  5. Step 5: Solve for x
    x = 595,451,275.44/38,116
  6. Step 6: Final answer
    x = 15,622.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.