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Finding the Fourth Proportional to 79,892, 110,250.96 and 44,564

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Solution

The fourth proportional to 79,892, 110,250.96 and 44,564 is: 61,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,892 : 110,250.96 = 44,564 : x
  2. Step 2: Convert to fraction form
    79,892/110,250.96 = 44,564/x
  3. Step 3: Cross multiply
    79,892x = 110,250.96 × 44,564
  4. Step 4: Simplify right side
    79,892x = 4,913,223,781.44
  5. Step 5: Solve for x
    x = 4,913,223,781.44/79,892
  6. Step 6: Final answer
    x = 61,498.32

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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.