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Finding the Fourth Proportional to 33,147.72, 49,676.13 and 17,534.16

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Solution

The fourth proportional to 33,147.72, 49,676.13 and 17,534.16 is: 26,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,147.72 : 49,676.13 = 17,534.16 : x
  2. Step 2: Convert to fraction form
    33,147.72/49,676.13 = 17,534.16/x
  3. Step 3: Cross multiply
    33,147.72x = 49,676.13 × 17,534.16
  4. Step 4: Simplify right side
    33,147.72x = 871,029,211.60
  5. Step 5: Solve for x
    x = 871,029,211.60/33,147.72
  6. Step 6: Final answer
    x = 26,277.20

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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.