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Finding the Fourth Proportional to 89,856.14, 134,755.02 and 29,868.50

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Solution

The fourth proportional to 89,856.14, 134,755.02 and 29,868.50 is: 44,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,856.14 : 134,755.02 = 29,868.50 : x
  2. Step 2: Convert to fraction form
    89,856.14/134,755.02 = 29,868.50/x
  3. Step 3: Cross multiply
    89,856.14x = 134,755.02 × 29,868.50
  4. Step 4: Simplify right side
    89,856.14x = 4,024,930,314.87
  5. Step 5: Solve for x
    x = 4,024,930,314.87/89,856.14
  6. Step 6: Final answer
    x = 44,793.05

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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.