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Finding the Fourth Proportional to 83,111.27, 114,692.96 and 45,385.52

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Solution

The fourth proportional to 83,111.27, 114,692.96 and 45,385.52 is: 62,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,111.27 : 114,692.96 = 45,385.52 : x
  2. Step 2: Convert to fraction form
    83,111.27/114,692.96 = 45,385.52/x
  3. Step 3: Cross multiply
    83,111.27x = 114,692.96 × 45,385.52
  4. Step 4: Simplify right side
    83,111.27x = 5,205,399,169.94
  5. Step 5: Solve for x
    x = 5,205,399,169.94/83,111.27
  6. Step 6: Final answer
    x = 62,631.69

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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.