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Finding the Fourth Proportional to 33,031.02, 49,543.82 and 9,338.10

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Solution

The fourth proportional to 33,031.02, 49,543.82 and 9,338.10 is: 14,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,031.02 : 49,543.82 = 9,338.10 : x
  2. Step 2: Convert to fraction form
    33,031.02/49,543.82 = 9,338.10/x
  3. Step 3: Cross multiply
    33,031.02x = 49,543.82 × 9,338.10
  4. Step 4: Simplify right side
    33,031.02x = 462,645,145.54
  5. Step 5: Solve for x
    x = 462,645,145.54/33,031.02
  6. Step 6: Final answer
    x = 14,006.38

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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.