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Finding the Fourth Proportional to 10,030.70, 15,046.85 and 3,105.20

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Solution

The fourth proportional to 10,030.70, 15,046.85 and 3,105.20 is: 4,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.70 : 15,046.85 = 3,105.20 : x
  2. Step 2: Convert to fraction form
    10,030.70/15,046.85 = 3,105.20/x
  3. Step 3: Cross multiply
    10,030.70x = 15,046.85 × 3,105.20
  4. Step 4: Simplify right side
    10,030.70x = 46,723,387.86
  5. Step 5: Solve for x
    x = 46,723,387.86/10,030.70
  6. Step 6: Final answer
    x = 4,658.04

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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.