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Finding the Fourth Proportional to 89,234.64, 133,764.92 and 42,474.96

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Solution

The fourth proportional to 89,234.64, 133,764.92 and 42,474.96 is: 63,671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,234.64 : 133,764.92 = 42,474.96 : x
  2. Step 2: Convert to fraction form
    89,234.64/133,764.92 = 42,474.96/x
  3. Step 3: Cross multiply
    89,234.64x = 133,764.92 × 42,474.96
  4. Step 4: Simplify right side
    89,234.64x = 5,681,659,626.40
  5. Step 5: Solve for x
    x = 5,681,659,626.40/89,234.64
  6. Step 6: Final answer
    x = 63,671.01

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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.