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Finding the Fourth Proportional to 32,893.82, 49,348.10 and 15,354.08

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Solution

The fourth proportional to 32,893.82, 49,348.10 and 15,354.08 is: 23,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.82 : 49,348.10 = 15,354.08 : x
  2. Step 2: Convert to fraction form
    32,893.82/49,348.10 = 15,354.08/x
  3. Step 3: Cross multiply
    32,893.82x = 49,348.10 × 15,354.08
  4. Step 4: Simplify right side
    32,893.82x = 757,694,675.25
  5. Step 5: Solve for x
    x = 757,694,675.25/32,893.82
  6. Step 6: Final answer
    x = 23,034.56

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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.