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Finding the Fourth Proportional to 42,418, 63,611 and 34,077.52

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Solution

The fourth proportional to 42,418, 63,611 and 34,077.52 is: 51,103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,418 : 63,611 = 34,077.52 : x
  2. Step 2: Convert to fraction form
    42,418/63,611 = 34,077.52/x
  3. Step 3: Cross multiply
    42,418x = 63,611 × 34,077.52
  4. Step 4: Simplify right side
    42,418x = 2,167,705,124.72
  5. Step 5: Solve for x
    x = 2,167,705,124.72/42,418
  6. Step 6: Final answer
    x = 51,103.43

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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.