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Finding the Fourth Proportional to 33,165.24, 49,740.24 and 9,472.29

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Solution

The fourth proportional to 33,165.24, 49,740.24 and 9,472.29 is: 14,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,165.24 : 49,740.24 = 9,472.29 : x
  2. Step 2: Convert to fraction form
    33,165.24/49,740.24 = 9,472.29/x
  3. Step 3: Cross multiply
    33,165.24x = 49,740.24 × 9,472.29
  4. Step 4: Simplify right side
    33,165.24x = 471,153,977.95
  5. Step 5: Solve for x
    x = 471,153,977.95/33,165.24
  6. Step 6: Final answer
    x = 14,206.26

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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.