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Finding the Fourth Proportional to 89,102.64, 122,961.60 and 48,818.96

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Solution

The fourth proportional to 89,102.64, 122,961.60 and 48,818.96 is: 67,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,102.64 : 122,961.60 = 48,818.96 : x
  2. Step 2: Convert to fraction form
    89,102.64/122,961.60 = 48,818.96/x
  3. Step 3: Cross multiply
    89,102.64x = 122,961.60 × 48,818.96
  4. Step 4: Simplify right side
    89,102.64x = 6,002,857,431.94
  5. Step 5: Solve for x
    x = 6,002,857,431.94/89,102.64
  6. Step 6: Final answer
    x = 67,370.14

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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.