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Finding the Fourth Proportional to 30,700.20, 46,050.28 and 8,519.16

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Solution

The fourth proportional to 30,700.20, 46,050.28 and 8,519.16 is: 12,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.20 : 46,050.28 = 8,519.16 : x
  2. Step 2: Convert to fraction form
    30,700.20/46,050.28 = 8,519.16/x
  3. Step 3: Cross multiply
    30,700.20x = 46,050.28 × 8,519.16
  4. Step 4: Simplify right side
    30,700.20x = 392,309,703.36
  5. Step 5: Solve for x
    x = 392,309,703.36/30,700.20
  6. Step 6: Final answer
    x = 12,778.73

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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.