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Finding the Fourth Proportional to 83,046.75, 114,604.52 and 45,321

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Solution

The fourth proportional to 83,046.75, 114,604.52 and 45,321 is: 62,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,046.75 : 114,604.52 = 45,321 : x
  2. Step 2: Convert to fraction form
    83,046.75/114,604.52 = 45,321/x
  3. Step 3: Cross multiply
    83,046.75x = 114,604.52 × 45,321
  4. Step 4: Simplify right side
    83,046.75x = 5,193,991,224.32
  5. Step 5: Solve for x
    x = 5,193,991,224.32/83,046.75
  6. Step 6: Final answer
    x = 62,542.98

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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.