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Finding the Fourth Proportional to 33,099.40, 49,649.10 and 14,388.40

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Solution

The fourth proportional to 33,099.40, 49,649.10 and 14,388.40 is: 21,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099.40 : 49,649.10 = 14,388.40 : x
  2. Step 2: Convert to fraction form
    33,099.40/49,649.10 = 14,388.40/x
  3. Step 3: Cross multiply
    33,099.40x = 49,649.10 × 14,388.40
  4. Step 4: Simplify right side
    33,099.40x = 714,371,110.44
  5. Step 5: Solve for x
    x = 714,371,110.44/33,099.40
  6. Step 6: Final answer
    x = 21,582.60

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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.