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Finding the Fourth Proportional to 38,204.80, 57,307.20 and 10,124.80

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Solution

The fourth proportional to 38,204.80, 57,307.20 and 10,124.80 is: 15,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204.80 : 57,307.20 = 10,124.80 : x
  2. Step 2: Convert to fraction form
    38,204.80/57,307.20 = 10,124.80/x
  3. Step 3: Cross multiply
    38,204.80x = 57,307.20 × 10,124.80
  4. Step 4: Simplify right side
    38,204.80x = 580,223,938.56
  5. Step 5: Solve for x
    x = 580,223,938.56/38,204.80
  6. Step 6: Final answer
    x = 15,187.20

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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.