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Finding the Fourth Proportional to 33,106.46, 49,655.36 and 10,615.22

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Solution

The fourth proportional to 33,106.46, 49,655.36 and 10,615.22 is: 15,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.46 : 49,655.36 = 10,615.22 : x
  2. Step 2: Convert to fraction form
    33,106.46/49,655.36 = 10,615.22/x
  3. Step 3: Cross multiply
    33,106.46x = 49,655.36 × 10,615.22
  4. Step 4: Simplify right side
    33,106.46x = 527,102,570.58
  5. Step 5: Solve for x
    x = 527,102,570.58/33,106.46
  6. Step 6: Final answer
    x = 15,921.44

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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.