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Finding the Fourth Proportional to 89,104.64, 122,964.36 and 48,820.96

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Solution

The fourth proportional to 89,104.64, 122,964.36 and 48,820.96 is: 67,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,104.64 : 122,964.36 = 48,820.96 : x
  2. Step 2: Convert to fraction form
    89,104.64/122,964.36 = 48,820.96/x
  3. Step 3: Cross multiply
    89,104.64x = 122,964.36 × 48,820.96
  4. Step 4: Simplify right side
    89,104.64x = 6,003,238,100.99
  5. Step 5: Solve for x
    x = 6,003,238,100.99/89,104.64
  6. Step 6: Final answer
    x = 67,372.90

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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.