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Finding the Fourth Proportional to 89,104.60, 122,965.62 and 48,817.48

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Solution

The fourth proportional to 89,104.60, 122,965.62 and 48,817.48 is: 67,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,104.60 : 122,965.62 = 48,817.48 : x
  2. Step 2: Convert to fraction form
    89,104.60/122,965.62 = 48,817.48/x
  3. Step 3: Cross multiply
    89,104.60x = 122,965.62 × 48,817.48
  4. Step 4: Simplify right side
    89,104.60x = 6,002,871,695.04
  5. Step 5: Solve for x
    x = 6,002,871,695.04/89,104.60
  6. Step 6: Final answer
    x = 67,368.82

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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.