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Finding the Fourth Proportional to 33,073.98, 49,613.50 and 9,381.12

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Solution

The fourth proportional to 33,073.98, 49,613.50 and 9,381.12 is: 14,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,073.98 : 49,613.50 = 9,381.12 : x
  2. Step 2: Convert to fraction form
    33,073.98/49,613.50 = 9,381.12/x
  3. Step 3: Cross multiply
    33,073.98x = 49,613.50 × 9,381.12
  4. Step 4: Simplify right side
    33,073.98x = 465,430,197.12
  5. Step 5: Solve for x
    x = 465,430,197.12/33,073.98
  6. Step 6: Final answer
    x = 14,072.40

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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.