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Finding the Fourth Proportional to 83,204, 114,822.60 and 45,479.06

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Solution

The fourth proportional to 83,204, 114,822.60 and 45,479.06 is: 62,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,204 : 114,822.60 = 45,479.06 : x
  2. Step 2: Convert to fraction form
    83,204/114,822.60 = 45,479.06/x
  3. Step 3: Cross multiply
    83,204x = 114,822.60 × 45,479.06
  4. Step 4: Simplify right side
    83,204x = 5,222,023,914.76
  5. Step 5: Solve for x
    x = 5,222,023,914.76/83,204
  6. Step 6: Final answer
    x = 62,761.69

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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.