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Finding the Fourth Proportional to 77,702, 107,228.88 and 44,168

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Solution

The fourth proportional to 77,702, 107,228.88 and 44,168 is: 60,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,702 : 107,228.88 = 44,168 : x
  2. Step 2: Convert to fraction form
    77,702/107,228.88 = 44,168/x
  3. Step 3: Cross multiply
    77,702x = 107,228.88 × 44,168
  4. Step 4: Simplify right side
    77,702x = 4,736,085,171.84
  5. Step 5: Solve for x
    x = 4,736,085,171.84/77,702
  6. Step 6: Final answer
    x = 60,951.91

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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.