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Finding the Fourth Proportional to 95,462.64, 131,742.18 and 65,311.20

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Solution

The fourth proportional to 95,462.64, 131,742.18 and 65,311.20 is: 90,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,462.64 : 131,742.18 = 65,311.20 : x
  2. Step 2: Convert to fraction form
    95,462.64/131,742.18 = 65,311.20/x
  3. Step 3: Cross multiply
    95,462.64x = 131,742.18 × 65,311.20
  4. Step 4: Simplify right side
    95,462.64x = 8,604,239,866.42
  5. Step 5: Solve for x
    x = 8,604,239,866.42/95,462.64
  6. Step 6: Final answer
    x = 90,132.01

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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.