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Finding the Fourth Proportional to 38,116.50, 57,178.02 and 10,414.50

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Solution

The fourth proportional to 38,116.50, 57,178.02 and 10,414.50 is: 15,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,116.50 : 57,178.02 = 10,414.50 : x
  2. Step 2: Convert to fraction form
    38,116.50/57,178.02 = 10,414.50/x
  3. Step 3: Cross multiply
    38,116.50x = 57,178.02 × 10,414.50
  4. Step 4: Simplify right side
    38,116.50x = 595,480,489.29
  5. Step 5: Solve for x
    x = 595,480,489.29/38,116.50
  6. Step 6: Final answer
    x = 15,622.64

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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.