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Finding the Fourth Proportional to 33,112.67, 49,671.43 and 9,740.12

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Solution

The fourth proportional to 33,112.67, 49,671.43 and 9,740.12 is: 14,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,112.67 : 49,671.43 = 9,740.12 : x
  2. Step 2: Convert to fraction form
    33,112.67/49,671.43 = 9,740.12/x
  3. Step 3: Cross multiply
    33,112.67x = 49,671.43 × 9,740.12
  4. Step 4: Simplify right side
    33,112.67x = 483,805,416.06
  5. Step 5: Solve for x
    x = 483,805,416.06/33,112.67
  6. Step 6: Final answer
    x = 14,610.89

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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.