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Finding the Fourth Proportional to 47,993.70, 71,842.92 and 31,317.83

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Solution

The fourth proportional to 47,993.70, 71,842.92 and 31,317.83 is: 46,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,993.70 : 71,842.92 = 31,317.83 : x
  2. Step 2: Convert to fraction form
    47,993.70/71,842.92 = 31,317.83/x
  3. Step 3: Cross multiply
    47,993.70x = 71,842.92 × 31,317.83
  4. Step 4: Simplify right side
    47,993.70x = 2,249,964,355.26
  5. Step 5: Solve for x
    x = 2,249,964,355.26/47,993.70
  6. Step 6: Final answer
    x = 46,880.41

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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.