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Finding the Fourth Proportional to 32,161.92, 48,250.38 and 9,974.16

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Solution

The fourth proportional to 32,161.92, 48,250.38 and 9,974.16 is: 14,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,161.92 : 48,250.38 = 9,974.16 : x
  2. Step 2: Convert to fraction form
    32,161.92/48,250.38 = 9,974.16/x
  3. Step 3: Cross multiply
    32,161.92x = 48,250.38 × 9,974.16
  4. Step 4: Simplify right side
    32,161.92x = 481,257,010.18
  5. Step 5: Solve for x
    x = 481,257,010.18/32,161.92
  6. Step 6: Final answer
    x = 14,963.57

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1.5x scale

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.