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Finding the Fourth Proportional to 33,046.40, 49,569.60 and 10,863.20

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Solution

The fourth proportional to 33,046.40, 49,569.60 and 10,863.20 is: 16,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,046.40 : 49,569.60 = 10,863.20 : x
  2. Step 2: Convert to fraction form
    33,046.40/49,569.60 = 10,863.20/x
  3. Step 3: Cross multiply
    33,046.40x = 49,569.60 × 10,863.20
  4. Step 4: Simplify right side
    33,046.40x = 538,484,478.72
  5. Step 5: Solve for x
    x = 538,484,478.72/33,046.40
  6. Step 6: Final answer
    x = 16,294.80

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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.