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Finding the Fourth Proportional to 89,778, 134,667 and 34,374

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Solution

The fourth proportional to 89,778, 134,667 and 34,374 is: 51,561

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,778 : 134,667 = 34,374 : x
  2. Step 2: Convert to fraction form
    89,778/134,667 = 34,374/x
  3. Step 3: Cross multiply
    89,778x = 134,667 × 34,374
  4. Step 4: Simplify right side
    89,778x = 4,629,043,458
  5. Step 5: Solve for x
    x = 4,629,043,458/89,778
  6. Step 6: Final answer
    x = 51,561

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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.