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Finding the Fourth Proportional to 38,126.40, 57,200.40 and 11,833.80

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Solution

The fourth proportional to 38,126.40, 57,200.40 and 11,833.80 is: 17,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,126.40 : 57,200.40 = 11,833.80 : x
  2. Step 2: Convert to fraction form
    38,126.40/57,200.40 = 11,833.80/x
  3. Step 3: Cross multiply
    38,126.40x = 57,200.40 × 11,833.80
  4. Step 4: Simplify right side
    38,126.40x = 676,898,093.52
  5. Step 5: Solve for x
    x = 676,898,093.52/38,126.40
  6. Step 6: Final answer
    x = 17,754.05

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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.