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Finding the Fourth Proportional to 92,593.83, 138,862.02 and 33,421.80

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Solution

The fourth proportional to 92,593.83, 138,862.02 and 33,421.80 is: 50,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,593.83 : 138,862.02 = 33,421.80 : x
  2. Step 2: Convert to fraction form
    92,593.83/138,862.02 = 33,421.80/x
  3. Step 3: Cross multiply
    92,593.83x = 138,862.02 × 33,421.80
  4. Step 4: Simplify right side
    92,593.83x = 4,641,018,660.04
  5. Step 5: Solve for x
    x = 4,641,018,660.04/92,593.83
  6. Step 6: Final answer
    x = 50,122.33

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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.