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Finding the Fourth Proportional to 33,011.10, 49,512.12 and 9,316.98

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Solution

The fourth proportional to 33,011.10, 49,512.12 and 9,316.98 is: 13,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,011.10 : 49,512.12 = 9,316.98 : x
  2. Step 2: Convert to fraction form
    33,011.10/49,512.12 = 9,316.98/x
  3. Step 3: Cross multiply
    33,011.10x = 49,512.12 × 9,316.98
  4. Step 4: Simplify right side
    33,011.10x = 461,303,431.80
  5. Step 5: Solve for x
    x = 461,303,431.80/33,011.10
  6. Step 6: Final answer
    x = 13,974.19

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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.