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Finding the Fourth Proportional to 65,194.80, 89,974.20 and 41,312.76

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Solution

The fourth proportional to 65,194.80, 89,974.20 and 41,312.76 is: 57,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194.80 : 89,974.20 = 41,312.76 : x
  2. Step 2: Convert to fraction form
    65,194.80/89,974.20 = 41,312.76/x
  3. Step 3: Cross multiply
    65,194.80x = 89,974.20 × 41,312.76
  4. Step 4: Simplify right side
    65,194.80x = 3,717,082,530.79
  5. Step 5: Solve for x
    x = 3,717,082,530.79/65,194.80
  6. Step 6: Final answer
    x = 57,015.02

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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.