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Finding the Fourth Proportional to 89,843, 134,770.98 and 34,439

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Solution

The fourth proportional to 89,843, 134,770.98 and 34,439 is: 51,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,843 : 134,770.98 = 34,439 : x
  2. Step 2: Convert to fraction form
    89,843/134,770.98 = 34,439/x
  3. Step 3: Cross multiply
    89,843x = 134,770.98 × 34,439
  4. Step 4: Simplify right side
    89,843x = 4,641,377,780.22
  5. Step 5: Solve for x
    x = 4,641,377,780.22/89,843
  6. Step 6: Final answer
    x = 51,660.98

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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.