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Finding the Fourth Proportional to 101,805.72, 152,723.16 and 31,692.12

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Solution

The fourth proportional to 101,805.72, 152,723.16 and 31,692.12 is: 47,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,805.72 : 152,723.16 = 31,692.12 : x
  2. Step 2: Convert to fraction form
    101,805.72/152,723.16 = 31,692.12/x
  3. Step 3: Cross multiply
    101,805.72x = 152,723.16 × 31,692.12
  4. Step 4: Simplify right side
    101,805.72x = 4,840,120,713.50
  5. Step 5: Solve for x
    x = 4,840,120,713.50/101,805.72
  6. Step 6: Final answer
    x = 47,542.72

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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.