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Finding the Fourth Proportional to 42,377.56, 63,554.22 and 17,077

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Solution

The fourth proportional to 42,377.56, 63,554.22 and 17,077 is: 25,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,377.56 : 63,554.22 = 17,077 : x
  2. Step 2: Convert to fraction form
    42,377.56/63,554.22 = 17,077/x
  3. Step 3: Cross multiply
    42,377.56x = 63,554.22 × 17,077
  4. Step 4: Simplify right side
    42,377.56x = 1,085,315,414.94
  5. Step 5: Solve for x
    x = 1,085,315,414.94/42,377.56
  6. Step 6: Final answer
    x = 25,610.62

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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.