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Finding the Fourth Proportional to 83,089, 124,685.34 and 33,841

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Solution

The fourth proportional to 83,089, 124,685.34 and 33,841 is: 50,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089 : 124,685.34 = 33,841 : x
  2. Step 2: Convert to fraction form
    83,089/124,685.34 = 33,841/x
  3. Step 3: Cross multiply
    83,089x = 124,685.34 × 33,841
  4. Step 4: Simplify right side
    83,089x = 4,219,476,590.94
  5. Step 5: Solve for x
    x = 4,219,476,590.94/83,089
  6. Step 6: Final answer
    x = 50,782.61

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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.