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Finding the Fourth Proportional to 31,683.38, 43,718.16 and 18,252

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Solution

The fourth proportional to 31,683.38, 43,718.16 and 18,252 is: 25,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683.38 : 43,718.16 = 18,252 : x
  2. Step 2: Convert to fraction form
    31,683.38/43,718.16 = 18,252/x
  3. Step 3: Cross multiply
    31,683.38x = 43,718.16 × 18,252
  4. Step 4: Simplify right side
    31,683.38x = 797,943,856.32
  5. Step 5: Solve for x
    x = 797,943,856.32/31,683.38
  6. Step 6: Final answer
    x = 25,184.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.