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Finding the Fourth Proportional to 42,538.50, 58,703.13 and 23,675.22

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Solution

The fourth proportional to 42,538.50, 58,703.13 and 23,675.22 is: 32,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,538.50 : 58,703.13 = 23,675.22 : x
  2. Step 2: Convert to fraction form
    42,538.50/58,703.13 = 23,675.22/x
  3. Step 3: Cross multiply
    42,538.50x = 58,703.13 × 23,675.22
  4. Step 4: Simplify right side
    42,538.50x = 1,389,809,517.44
  5. Step 5: Solve for x
    x = 1,389,809,517.44/42,538.50
  6. Step 6: Final answer
    x = 32,671.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.