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Finding the Fourth Proportional to 38,114.39, 57,177.65 and 11,813.69

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Solution

The fourth proportional to 38,114.39, 57,177.65 and 11,813.69 is: 17,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.39 : 57,177.65 = 11,813.69 : x
  2. Step 2: Convert to fraction form
    38,114.39/57,177.65 = 11,813.69/x
  3. Step 3: Cross multiply
    38,114.39x = 57,177.65 × 11,813.69
  4. Step 4: Simplify right side
    38,114.39x = 675,479,032.03
  5. Step 5: Solve for x
    x = 675,479,032.03/38,114.39
  6. Step 6: Final answer
    x = 17,722.41

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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.