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Finding the Fourth Proportional to 82,956.44, 114,479.92 and 47,145.53

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Solution

The fourth proportional to 82,956.44, 114,479.92 and 47,145.53 is: 65,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,956.44 : 114,479.92 = 47,145.53 : x
  2. Step 2: Convert to fraction form
    82,956.44/114,479.92 = 47,145.53/x
  3. Step 3: Cross multiply
    82,956.44x = 114,479.92 × 47,145.53
  4. Step 4: Simplify right side
    82,956.44x = 5,397,215,938.75
  5. Step 5: Solve for x
    x = 5,397,215,938.75/82,956.44
  6. Step 6: Final answer
    x = 65,060.85

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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.