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Finding the Fourth Proportional to 52,993.60, 73,115.22 and 31,765.12

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Solution

The fourth proportional to 52,993.60, 73,115.22 and 31,765.12 is: 43,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,993.60 : 73,115.22 = 31,765.12 : x
  2. Step 2: Convert to fraction form
    52,993.60/73,115.22 = 31,765.12/x
  3. Step 3: Cross multiply
    52,993.60x = 73,115.22 × 31,765.12
  4. Step 4: Simplify right side
    52,993.60x = 2,322,513,737.13
  5. Step 5: Solve for x
    x = 2,322,513,737.13/52,993.60
  6. Step 6: Final answer
    x = 43,826.31

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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.