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Finding the Fourth Proportional to 76,700.82, 105,847.92 and 44,863.50

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Solution

The fourth proportional to 76,700.82, 105,847.92 and 44,863.50 is: 61,912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,700.82 : 105,847.92 = 44,863.50 : x
  2. Step 2: Convert to fraction form
    76,700.82/105,847.92 = 44,863.50/x
  3. Step 3: Cross multiply
    76,700.82x = 105,847.92 × 44,863.50
  4. Step 4: Simplify right side
    76,700.82x = 4,748,708,158.92
  5. Step 5: Solve for x
    x = 4,748,708,158.92/76,700.82
  6. Step 6: Final answer
    x = 61,912.09

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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.