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Finding the Fourth Proportional to 78,867, 108,846 and 44,883.74

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Solution

The fourth proportional to 78,867, 108,846 and 44,883.74 is: 61,944.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,867 : 108,846 = 44,883.74 : x
  2. Step 2: Convert to fraction form
    78,867/108,846 = 44,883.74/x
  3. Step 3: Cross multiply
    78,867x = 108,846 × 44,883.74
  4. Step 4: Simplify right side
    78,867x = 4,885,415,836.16
  5. Step 5: Solve for x
    x = 4,885,415,836.16/78,867
  6. Step 6: Final answer
    x = 61,944.99

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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.