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Finding the Fourth Proportional to 33,023.40, 49,535.10 and 9,652.20

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Solution

The fourth proportional to 33,023.40, 49,535.10 and 9,652.20 is: 14,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,023.40 : 49,535.10 = 9,652.20 : x
  2. Step 2: Convert to fraction form
    33,023.40/49,535.10 = 9,652.20/x
  3. Step 3: Cross multiply
    33,023.40x = 49,535.10 × 9,652.20
  4. Step 4: Simplify right side
    33,023.40x = 478,122,692.22
  5. Step 5: Solve for x
    x = 478,122,692.22/33,023.40
  6. Step 6: Final answer
    x = 14,478.30

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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.