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Finding the Fourth Proportional to 83,092.30, 114,667.34 and 45,366.54

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Solution

The fourth proportional to 83,092.30, 114,667.34 and 45,366.54 is: 62,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,092.30 : 114,667.34 = 45,366.54 : x
  2. Step 2: Convert to fraction form
    83,092.30/114,667.34 = 45,366.54/x
  3. Step 3: Cross multiply
    83,092.30x = 114,667.34 × 45,366.54
  4. Step 4: Simplify right side
    83,092.30x = 5,202,060,466.80
  5. Step 5: Solve for x
    x = 5,202,060,466.80/83,092.30
  6. Step 6: Final answer
    x = 62,605.81

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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.