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Finding the Fourth Proportional to 30,778.70, 46,175.28 and 10,002.20

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Solution

The fourth proportional to 30,778.70, 46,175.28 and 10,002.20 is: 15,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.70 : 46,175.28 = 10,002.20 : x
  2. Step 2: Convert to fraction form
    30,778.70/46,175.28 = 10,002.20/x
  3. Step 3: Cross multiply
    30,778.70x = 46,175.28 × 10,002.20
  4. Step 4: Simplify right side
    30,778.70x = 461,854,385.62
  5. Step 5: Solve for x
    x = 461,854,385.62/30,778.70
  6. Step 6: Final answer
    x = 15,005.65

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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.