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Finding the Fourth Proportional to 38,117.70, 57,171.15 and 11,825.10

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Solution

The fourth proportional to 38,117.70, 57,171.15 and 11,825.10 is: 17,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,117.70 : 57,171.15 = 11,825.10 : x
  2. Step 2: Convert to fraction form
    38,117.70/57,171.15 = 11,825.10/x
  3. Step 3: Cross multiply
    38,117.70x = 57,171.15 × 11,825.10
  4. Step 4: Simplify right side
    38,117.70x = 676,054,565.87
  5. Step 5: Solve for x
    x = 676,054,565.87/38,117.70
  6. Step 6: Final answer
    x = 17,735.97

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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.