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Finding the Fourth Proportional to 33,013.49, 49,520.23 and 14,278.19

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Solution

The fourth proportional to 33,013.49, 49,520.23 and 14,278.19 is: 21,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,013.49 : 49,520.23 = 14,278.19 : x
  2. Step 2: Convert to fraction form
    33,013.49/49,520.23 = 14,278.19/x
  3. Step 3: Cross multiply
    33,013.49x = 49,520.23 × 14,278.19
  4. Step 4: Simplify right side
    33,013.49x = 707,058,969.49
  5. Step 5: Solve for x
    x = 707,058,969.49/33,013.49
  6. Step 6: Final answer
    x = 21,417.28

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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.