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Finding the Fourth Proportional to 32,675.97, 49,044.02 and 20,220.33

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Solution

The fourth proportional to 32,675.97, 49,044.02 and 20,220.33 is: 30,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,675.97 : 49,044.02 = 20,220.33 : x
  2. Step 2: Convert to fraction form
    32,675.97/49,044.02 = 20,220.33/x
  3. Step 3: Cross multiply
    32,675.97x = 49,044.02 × 20,220.33
  4. Step 4: Simplify right side
    32,675.97x = 991,686,167.82
  5. Step 5: Solve for x
    x = 991,686,167.82/32,675.97
  6. Step 6: Final answer
    x = 30,349.10

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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.