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Finding the Fourth Proportional to 56,022, 84,032.69 and 32,314.18

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Solution

The fourth proportional to 56,022, 84,032.69 and 32,314.18 is: 48,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,022 : 84,032.69 = 32,314.18 : x
  2. Step 2: Convert to fraction form
    56,022/84,032.69 = 32,314.18/x
  3. Step 3: Cross multiply
    56,022x = 84,032.69 × 32,314.18
  4. Step 4: Simplify right side
    56,022x = 2,715,447,470.54
  5. Step 5: Solve for x
    x = 2,715,447,470.54/56,022
  6. Step 6: Final answer
    x = 48,471.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.