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Finding the Fourth Proportional to 89,103.60, 122,964.24 and 48,816.48

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Solution

The fourth proportional to 89,103.60, 122,964.24 and 48,816.48 is: 67,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,103.60 : 122,964.24 = 48,816.48 : x
  2. Step 2: Convert to fraction form
    89,103.60/122,964.24 = 48,816.48/x
  3. Step 3: Cross multiply
    89,103.60x = 122,964.24 × 48,816.48
  4. Step 4: Simplify right side
    89,103.60x = 6,002,681,362.68
  5. Step 5: Solve for x
    x = 6,002,681,362.68/89,103.60
  6. Step 6: Final answer
    x = 67,367.44

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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.