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Finding the Fourth Proportional to 38,291.41, 57,439.86 and 10,211.32

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Solution

The fourth proportional to 38,291.41, 57,439.86 and 10,211.32 is: 15,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,291.41 : 57,439.86 = 10,211.32 : x
  2. Step 2: Convert to fraction form
    38,291.41/57,439.86 = 10,211.32/x
  3. Step 3: Cross multiply
    38,291.41x = 57,439.86 × 10,211.32
  4. Step 4: Simplify right side
    38,291.41x = 586,536,530.34
  5. Step 5: Solve for x
    x = 586,536,530.34/38,291.41
  6. Step 6: Final answer
    x = 15,317.71

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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.