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Finding the Fourth Proportional to 38,103.80, 57,154.02 and 10,401.80

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Solution

The fourth proportional to 38,103.80, 57,154.02 and 10,401.80 is: 15,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,103.80 : 57,154.02 = 10,401.80 : x
  2. Step 2: Convert to fraction form
    38,103.80/57,154.02 = 10,401.80/x
  3. Step 3: Cross multiply
    38,103.80x = 57,154.02 × 10,401.80
  4. Step 4: Simplify right side
    38,103.80x = 594,504,685.24
  5. Step 5: Solve for x
    x = 594,504,685.24/38,103.80
  6. Step 6: Final answer
    x = 15,602.24

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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.