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Finding the Fourth Proportional to 52,675.07, 72,692.91 and 31,978.81

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Solution

The fourth proportional to 52,675.07, 72,692.91 and 31,978.81 is: 44,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,675.07 : 72,692.91 = 31,978.81 : x
  2. Step 2: Convert to fraction form
    52,675.07/72,692.91 = 31,978.81/x
  3. Step 3: Cross multiply
    52,675.07x = 72,692.91 × 31,978.81
  4. Step 4: Simplify right side
    52,675.07x = 2,324,632,757.24
  5. Step 5: Solve for x
    x = 2,324,632,757.24/52,675.07
  6. Step 6: Final answer
    x = 44,131.56

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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.