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Finding the Fourth Proportional to 33,031.80, 49,474.80 and 32,302.80

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Solution

The fourth proportional to 33,031.80, 49,474.80 and 32,302.80 is: 48,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,031.80 : 49,474.80 = 32,302.80 : x
  2. Step 2: Convert to fraction form
    33,031.80/49,474.80 = 32,302.80/x
  3. Step 3: Cross multiply
    33,031.80x = 49,474.80 × 32,302.80
  4. Step 4: Simplify right side
    33,031.80x = 1,598,174,569.44
  5. Step 5: Solve for x
    x = 1,598,174,569.44/33,031.80
  6. Step 6: Final answer
    x = 48,382.91

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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.