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Finding the Fourth Proportional to 70,794.24, 106,131.84 and 47,349.12

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Solution

The fourth proportional to 70,794.24, 106,131.84 and 47,349.12 is: 70,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,794.24 : 106,131.84 = 47,349.12 : x
  2. Step 2: Convert to fraction form
    70,794.24/106,131.84 = 47,349.12/x
  3. Step 3: Cross multiply
    70,794.24x = 106,131.84 × 47,349.12
  4. Step 4: Simplify right side
    70,794.24x = 5,025,249,227.98
  5. Step 5: Solve for x
    x = 5,025,249,227.98/70,794.24
  6. Step 6: Final answer
    x = 70,983.87

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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.