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Finding the Fourth Proportional to 77,868, 107,458 and 44,334

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Solution

The fourth proportional to 77,868, 107,458 and 44,334 is: 61,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,868 : 107,458 = 44,334 : x
  2. Step 2: Convert to fraction form
    77,868/107,458 = 44,334/x
  3. Step 3: Cross multiply
    77,868x = 107,458 × 44,334
  4. Step 4: Simplify right side
    77,868x = 4,764,042,972
  5. Step 5: Solve for x
    x = 4,764,042,972/77,868
  6. Step 6: Final answer
    x = 61,181.01

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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.