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Finding the Fourth Proportional to 32,024.46, 47,997.80 and 22,667.22

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Solution

The fourth proportional to 32,024.46, 47,997.80 and 22,667.22 is: 33,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.46 : 47,997.80 = 22,667.22 : x
  2. Step 2: Convert to fraction form
    32,024.46/47,997.80 = 22,667.22/x
  3. Step 3: Cross multiply
    32,024.46x = 47,997.80 × 22,667.22
  4. Step 4: Simplify right side
    32,024.46x = 1,087,976,692.12
  5. Step 5: Solve for x
    x = 1,087,976,692.12/32,024.46
  6. Step 6: Final answer
    x = 33,973.30

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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.