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Finding the Fourth Proportional to 41,488.18, 57,236.95 and 24,014

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Solution

The fourth proportional to 41,488.18, 57,236.95 and 24,014 is: 33,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,488.18 : 57,236.95 = 24,014 : x
  2. Step 2: Convert to fraction form
    41,488.18/57,236.95 = 24,014/x
  3. Step 3: Cross multiply
    41,488.18x = 57,236.95 × 24,014
  4. Step 4: Simplify right side
    41,488.18x = 1,374,488,117.30
  5. Step 5: Solve for x
    x = 1,374,488,117.30/41,488.18
  6. Step 6: Final answer
    x = 33,129.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.