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Finding the Fourth Proportional to 38,102.80, 57,152.52 and 10,400.80

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Solution

The fourth proportional to 38,102.80, 57,152.52 and 10,400.80 is: 15,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.80 : 57,152.52 = 10,400.80 : x
  2. Step 2: Convert to fraction form
    38,102.80/57,152.52 = 10,400.80/x
  3. Step 3: Cross multiply
    38,102.80x = 57,152.52 × 10,400.80
  4. Step 4: Simplify right side
    38,102.80x = 594,431,930.02
  5. Step 5: Solve for x
    x = 594,431,930.02/38,102.80
  6. Step 6: Final answer
    x = 15,600.74

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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.