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Finding the Fourth Proportional to 52,869.68, 72,974.04 and 31,665.52

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Solution

The fourth proportional to 52,869.68, 72,974.04 and 31,665.52 is: 43,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,869.68 : 72,974.04 = 31,665.52 : x
  2. Step 2: Convert to fraction form
    52,869.68/72,974.04 = 31,665.52/x
  3. Step 3: Cross multiply
    52,869.68x = 72,974.04 × 31,665.52
  4. Step 4: Simplify right side
    52,869.68x = 2,310,760,923.10
  5. Step 5: Solve for x
    x = 2,310,760,923.10/52,869.68
  6. Step 6: Final answer
    x = 43,706.73

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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.