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Finding the Fourth Proportional to 33,089.40, 49,629.30 and 9,713.40

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Solution

The fourth proportional to 33,089.40, 49,629.30 and 9,713.40 is: 14,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,089.40 : 49,629.30 = 9,713.40 : x
  2. Step 2: Convert to fraction form
    33,089.40/49,629.30 = 9,713.40/x
  3. Step 3: Cross multiply
    33,089.40x = 49,629.30 × 9,713.40
  4. Step 4: Simplify right side
    33,089.40x = 482,069,242.62
  5. Step 5: Solve for x
    x = 482,069,242.62/33,089.40
  6. Step 6: Final answer
    x = 14,568.69

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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.