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Finding the Fourth Proportional to 42,761.98, 64,149 and 13,182.22

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Solution

The fourth proportional to 42,761.98, 64,149 and 13,182.22 is: 19,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,761.98 : 64,149 = 13,182.22 : x
  2. Step 2: Convert to fraction form
    42,761.98/64,149 = 13,182.22/x
  3. Step 3: Cross multiply
    42,761.98x = 64,149 × 13,182.22
  4. Step 4: Simplify right side
    42,761.98x = 845,626,230.78
  5. Step 5: Solve for x
    x = 845,626,230.78/42,761.98
  6. Step 6: Final answer
    x = 19,775.19

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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.