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Finding the Fourth Proportional to 109,805.77, 164,719.86 and 29,845

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Solution

The fourth proportional to 109,805.77, 164,719.86 and 29,845 is: 44,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,805.77 : 164,719.86 = 29,845 : x
  2. Step 2: Convert to fraction form
    109,805.77/164,719.86 = 29,845/x
  3. Step 3: Cross multiply
    109,805.77x = 164,719.86 × 29,845
  4. Step 4: Simplify right side
    109,805.77x = 4,916,064,221.70
  5. Step 5: Solve for x
    x = 4,916,064,221.70/109,805.77
  6. Step 6: Final answer
    x = 44,770.55

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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.