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Finding the Fourth Proportional to 67,113.81, 100,451.66 and 49,339.76

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Solution

The fourth proportional to 67,113.81, 100,451.66 and 49,339.76 is: 73,848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,113.81 : 100,451.66 = 49,339.76 : x
  2. Step 2: Convert to fraction form
    67,113.81/100,451.66 = 49,339.76/x
  3. Step 3: Cross multiply
    67,113.81x = 100,451.66 × 49,339.76
  4. Step 4: Simplify right side
    67,113.81x = 4,956,261,346.85
  5. Step 5: Solve for x
    x = 4,956,261,346.85/67,113.81
  6. Step 6: Final answer
    x = 73,848.61

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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.