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Finding the Fourth Proportional to 32,990.50, 49,433.86 and 25,512.38

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Solution

The fourth proportional to 32,990.50, 49,433.86 and 25,512.38 is: 38,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990.50 : 49,433.86 = 25,512.38 : x
  2. Step 2: Convert to fraction form
    32,990.50/49,433.86 = 25,512.38/x
  3. Step 3: Cross multiply
    32,990.50x = 49,433.86 × 25,512.38
  4. Step 4: Simplify right side
    32,990.50x = 1,261,175,391.28
  5. Step 5: Solve for x
    x = 1,261,175,391.28/32,990.50
  6. Step 6: Final answer
    x = 38,228.44

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Why These Related Problems?

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