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Finding the Fourth Proportional to 82,496.88, 113,759.64 and 48,956.40

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Solution

The fourth proportional to 82,496.88, 113,759.64 and 48,956.40 is: 67,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,496.88 : 113,759.64 = 48,956.40 : x
  2. Step 2: Convert to fraction form
    82,496.88/113,759.64 = 48,956.40/x
  3. Step 3: Cross multiply
    82,496.88x = 113,759.64 × 48,956.40
  4. Step 4: Simplify right side
    82,496.88x = 5,569,262,439.70
  5. Step 5: Solve for x
    x = 5,569,262,439.70/82,496.88
  6. Step 6: Final answer
    x = 67,508.76

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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.