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Finding the Fourth Proportional to 42,543.56, 63,815.34 and 11,378

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Solution

The fourth proportional to 42,543.56, 63,815.34 and 11,378 is: 17,067

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,543.56 : 63,815.34 = 11,378 : x
  2. Step 2: Convert to fraction form
    42,543.56/63,815.34 = 11,378/x
  3. Step 3: Cross multiply
    42,543.56x = 63,815.34 × 11,378
  4. Step 4: Simplify right side
    42,543.56x = 726,090,938.52
  5. Step 5: Solve for x
    x = 726,090,938.52/42,543.56
  6. Step 6: Final answer
    x = 17,067

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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.