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Finding the Fourth Proportional to 38,114.64, 57,178.02 and 11,813.94

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Solution

The fourth proportional to 38,114.64, 57,178.02 and 11,813.94 is: 17,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.64 : 57,178.02 = 11,813.94 : x
  2. Step 2: Convert to fraction form
    38,114.64/57,178.02 = 11,813.94/x
  3. Step 3: Cross multiply
    38,114.64x = 57,178.02 × 11,813.94
  4. Step 4: Simplify right side
    38,114.64x = 675,497,697.60
  5. Step 5: Solve for x
    x = 675,497,697.60/38,114.64
  6. Step 6: Final answer
    x = 17,722.79

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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.