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Finding the Fourth Proportional to 33,033.46, 49,426.02 and 19,657.22

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Solution

The fourth proportional to 33,033.46, 49,426.02 and 19,657.22 is: 29,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,033.46 : 49,426.02 = 19,657.22 : x
  2. Step 2: Convert to fraction form
    33,033.46/49,426.02 = 19,657.22/x
  3. Step 3: Cross multiply
    33,033.46x = 49,426.02 × 19,657.22
  4. Step 4: Simplify right side
    33,033.46x = 971,578,148.86
  5. Step 5: Solve for x
    x = 971,578,148.86/33,033.46
  6. Step 6: Final answer
    x = 29,411.94

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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.