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Finding the Fourth Proportional to 65,910.57, 90,956.13 and 35,695.20

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Solution

The fourth proportional to 65,910.57, 90,956.13 and 35,695.20 is: 49,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,910.57 : 90,956.13 = 35,695.20 : x
  2. Step 2: Convert to fraction form
    65,910.57/90,956.13 = 35,695.20/x
  3. Step 3: Cross multiply
    65,910.57x = 90,956.13 × 35,695.20
  4. Step 4: Simplify right side
    65,910.57x = 3,246,697,251.58
  5. Step 5: Solve for x
    x = 3,246,697,251.58/65,910.57
  6. Step 6: Final answer
    x = 49,259.13

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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.