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Finding the Fourth Proportional to 33,031.10, 49,546.65 and 9,657.54

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Solution

The fourth proportional to 33,031.10, 49,546.65 and 9,657.54 is: 14,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,031.10 : 49,546.65 = 9,657.54 : x
  2. Step 2: Convert to fraction form
    33,031.10/49,546.65 = 9,657.54/x
  3. Step 3: Cross multiply
    33,031.10x = 49,546.65 × 9,657.54
  4. Step 4: Simplify right side
    33,031.10x = 478,498,754.24
  5. Step 5: Solve for x
    x = 478,498,754.24/33,031.10
  6. Step 6: Final answer
    x = 14,486.31

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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.