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Finding the Fourth Proportional to 33,042.49, 49,537.51 and 16,398.06

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Solution

The fourth proportional to 33,042.49, 49,537.51 and 16,398.06 is: 24,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042.49 : 49,537.51 = 16,398.06 : x
  2. Step 2: Convert to fraction form
    33,042.49/49,537.51 = 16,398.06/x
  3. Step 3: Cross multiply
    33,042.49x = 49,537.51 × 16,398.06
  4. Step 4: Simplify right side
    33,042.49x = 812,319,061.23
  5. Step 5: Solve for x
    x = 812,319,061.23/33,042.49
  6. Step 6: Final answer
    x = 24,584.08

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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.