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Finding the Fourth Proportional to 70,785.18, 106,067.58 and 26,400

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Solution

The fourth proportional to 70,785.18, 106,067.58 and 26,400 is: 39,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,785.18 : 106,067.58 = 26,400 : x
  2. Step 2: Convert to fraction form
    70,785.18/106,067.58 = 26,400/x
  3. Step 3: Cross multiply
    70,785.18x = 106,067.58 × 26,400
  4. Step 4: Simplify right side
    70,785.18x = 2,800,184,112
  5. Step 5: Solve for x
    x = 2,800,184,112/70,785.18
  6. Step 6: Final answer
    x = 39,558.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.