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Finding the Fourth Proportional to 65,265.40, 97,861.65 and 27,819.10

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Solution

The fourth proportional to 65,265.40, 97,861.65 and 27,819.10 is: 41,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,265.40 : 97,861.65 = 27,819.10 : x
  2. Step 2: Convert to fraction form
    65,265.40/97,861.65 = 27,819.10/x
  3. Step 3: Cross multiply
    65,265.40x = 97,861.65 × 27,819.10
  4. Step 4: Simplify right side
    65,265.40x = 2,722,423,027.52
  5. Step 5: Solve for x
    x = 2,722,423,027.52/65,265.40
  6. Step 6: Final answer
    x = 41,713.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.