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Finding the Fourth Proportional to 62,205.04, 85,843.25 and 35,349

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Solution

The fourth proportional to 62,205.04, 85,843.25 and 35,349 is: 48,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,205.04 : 85,843.25 = 35,349 : x
  2. Step 2: Convert to fraction form
    62,205.04/85,843.25 = 35,349/x
  3. Step 3: Cross multiply
    62,205.04x = 85,843.25 × 35,349
  4. Step 4: Simplify right side
    62,205.04x = 3,034,473,044.25
  5. Step 5: Solve for x
    x = 3,034,473,044.25/62,205.04
  6. Step 6: Final answer
    x = 48,781.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.