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Finding the Fourth Proportional to 61,884, 85,400.02 and 33,589.69

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Solution

The fourth proportional to 61,884, 85,400.02 and 33,589.69 is: 46,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,884 : 85,400.02 = 33,589.69 : x
  2. Step 2: Convert to fraction form
    61,884/85,400.02 = 33,589.69/x
  3. Step 3: Cross multiply
    61,884x = 85,400.02 × 33,589.69
  4. Step 4: Simplify right side
    61,884x = 2,868,560,026.28
  5. Step 5: Solve for x
    x = 2,868,560,026.28/61,884
  6. Step 6: Final answer
    x = 46,353.82

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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.