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Finding the Fourth Proportional to 57,116.73, 78,821.08 and 31,966.23

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Solution

The fourth proportional to 57,116.73, 78,821.08 and 31,966.23 is: 44,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,116.73 : 78,821.08 = 31,966.23 : x
  2. Step 2: Convert to fraction form
    57,116.73/78,821.08 = 31,966.23/x
  3. Step 3: Cross multiply
    57,116.73x = 78,821.08 × 31,966.23
  4. Step 4: Simplify right side
    57,116.73x = 2,519,612,692.21
  5. Step 5: Solve for x
    x = 2,519,612,692.21/57,116.73
  6. Step 6: Final answer
    x = 44,113.39

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Why These Related Problems?

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