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Finding the Fourth Proportional to 33,099.40, 49,649.10 and 10,916.20

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Solution

The fourth proportional to 33,099.40, 49,649.10 and 10,916.20 is: 16,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099.40 : 49,649.10 = 10,916.20 : x
  2. Step 2: Convert to fraction form
    33,099.40/49,649.10 = 10,916.20/x
  3. Step 3: Cross multiply
    33,099.40x = 49,649.10 × 10,916.20
  4. Step 4: Simplify right side
    33,099.40x = 541,979,505.42
  5. Step 5: Solve for x
    x = 541,979,505.42/33,099.40
  6. Step 6: Final answer
    x = 16,374.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.