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Finding the Fourth Proportional to 33,054.67, 49,581.96 and 9,681.11

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Solution

The fourth proportional to 33,054.67, 49,581.96 and 9,681.11 is: 14,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,054.67 : 49,581.96 = 9,681.11 : x
  2. Step 2: Convert to fraction form
    33,054.67/49,581.96 = 9,681.11/x
  3. Step 3: Cross multiply
    33,054.67x = 49,581.96 × 9,681.11
  4. Step 4: Simplify right side
    33,054.67x = 480,008,408.78
  5. Step 5: Solve for x
    x = 480,008,408.78/33,054.67
  6. Step 6: Final answer
    x = 14,521.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.