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Finding the Fourth Proportional to 33,218.10, 49,827.15 and 15,722.10

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Solution

The fourth proportional to 33,218.10, 49,827.15 and 15,722.10 is: 23,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,218.10 : 49,827.15 = 15,722.10 : x
  2. Step 2: Convert to fraction form
    33,218.10/49,827.15 = 15,722.10/x
  3. Step 3: Cross multiply
    33,218.10x = 49,827.15 × 15,722.10
  4. Step 4: Simplify right side
    33,218.10x = 783,387,435.02
  5. Step 5: Solve for x
    x = 783,387,435.02/33,218.10
  6. Step 6: Final answer
    x = 23,583.15

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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.