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Finding the Fourth Proportional to 30,775.12, 42,469.85 and 19,449.65

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Solution

The fourth proportional to 30,775.12, 42,469.85 and 19,449.65 is: 26,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.12 : 42,469.85 = 19,449.65 : x
  2. Step 2: Convert to fraction form
    30,775.12/42,469.85 = 19,449.65/x
  3. Step 3: Cross multiply
    30,775.12x = 42,469.85 × 19,449.65
  4. Step 4: Simplify right side
    30,775.12x = 826,023,718.05
  5. Step 5: Solve for x
    x = 826,023,718.05/30,775.12
  6. Step 6: Final answer
    x = 26,840.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.