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Finding the Fourth Proportional to 33,095.52, 49,649.40 and 10,909.80

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Solution

The fourth proportional to 33,095.52, 49,649.40 and 10,909.80 is: 16,366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,095.52 : 49,649.40 = 10,909.80 : x
  2. Step 2: Convert to fraction form
    33,095.52/49,649.40 = 10,909.80/x
  3. Step 3: Cross multiply
    33,095.52x = 49,649.40 × 10,909.80
  4. Step 4: Simplify right side
    33,095.52x = 541,665,024.12
  5. Step 5: Solve for x
    x = 541,665,024.12/33,095.52
  6. Step 6: Final answer
    x = 16,366.72

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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.