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Finding the Fourth Proportional to 34,175.25, 47,163.67 and 20,032.65

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Solution

The fourth proportional to 34,175.25, 47,163.67 and 20,032.65 is: 27,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,175.25 : 47,163.67 = 20,032.65 : x
  2. Step 2: Convert to fraction form
    34,175.25/47,163.67 = 20,032.65/x
  3. Step 3: Cross multiply
    34,175.25x = 47,163.67 × 20,032.65
  4. Step 4: Simplify right side
    34,175.25x = 944,813,243.74
  5. Step 5: Solve for x
    x = 944,813,243.74/34,175.25
  6. Step 6: Final answer
    x = 27,646.13

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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.