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Finding the Fourth Proportional to 89,104.54, 122,964.20 and 48,820.82

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Solution

The fourth proportional to 89,104.54, 122,964.20 and 48,820.82 is: 67,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,104.54 : 122,964.20 = 48,820.82 : x
  2. Step 2: Convert to fraction form
    89,104.54/122,964.20 = 48,820.82/x
  3. Step 3: Cross multiply
    89,104.54x = 122,964.20 × 48,820.82
  4. Step 4: Simplify right side
    89,104.54x = 6,003,213,074.64
  5. Step 5: Solve for x
    x = 6,003,213,074.64/89,104.54
  6. Step 6: Final answer
    x = 67,372.70

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1.5x scale

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.