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Finding the Fourth Proportional to 52,689.56, 72,716.44 and 31,468.37

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Solution

The fourth proportional to 52,689.56, 72,716.44 and 31,468.37 is: 43,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,689.56 : 72,716.44 = 31,468.37 : x
  2. Step 2: Convert to fraction form
    52,689.56/72,716.44 = 31,468.37/x
  3. Step 3: Cross multiply
    52,689.56x = 72,716.44 × 31,468.37
  4. Step 4: Simplify right side
    52,689.56x = 2,288,267,839.00
  5. Step 5: Solve for x
    x = 2,288,267,839.00/52,689.56
  6. Step 6: Final answer
    x = 43,429.25

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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.