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Finding the Fourth Proportional to 80,829, 111,546.18 and 45,020.52

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Solution

The fourth proportional to 80,829, 111,546.18 and 45,020.52 is: 62,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,829 : 111,546.18 = 45,020.52 : x
  2. Step 2: Convert to fraction form
    80,829/111,546.18 = 45,020.52/x
  3. Step 3: Cross multiply
    80,829x = 111,546.18 × 45,020.52
  4. Step 4: Simplify right side
    80,829x = 5,021,867,027.61
  5. Step 5: Solve for x
    x = 5,021,867,027.61/80,829
  6. Step 6: Final answer
    x = 62,129.52

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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.