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Finding the Fourth Proportional to 42,534.57, 63,806.22 and 16,261.41

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Solution

The fourth proportional to 42,534.57, 63,806.22 and 16,261.41 is: 24,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,534.57 : 63,806.22 = 16,261.41 : x
  2. Step 2: Convert to fraction form
    42,534.57/63,806.22 = 16,261.41/x
  3. Step 3: Cross multiply
    42,534.57x = 63,806.22 × 16,261.41
  4. Step 4: Simplify right side
    42,534.57x = 1,037,579,103.97
  5. Step 5: Solve for x
    x = 1,037,579,103.97/42,534.57
  6. Step 6: Final answer
    x = 24,393.78

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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.