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Finding the Fourth Proportional to 33,471.04, 50,206.92 and 10,097.68

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Solution

The fourth proportional to 33,471.04, 50,206.92 and 10,097.68 is: 15,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471.04 : 50,206.92 = 10,097.68 : x
  2. Step 2: Convert to fraction form
    33,471.04/50,206.92 = 10,097.68/x
  3. Step 3: Cross multiply
    33,471.04x = 50,206.92 × 10,097.68
  4. Step 4: Simplify right side
    33,471.04x = 506,973,411.95
  5. Step 5: Solve for x
    x = 506,973,411.95/33,471.04
  6. Step 6: Final answer
    x = 15,146.63

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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.