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Finding the Fourth Proportional to 33,886.40, 50,829.60 and 22,827.20

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Solution

The fourth proportional to 33,886.40, 50,829.60 and 22,827.20 is: 34,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,886.40 : 50,829.60 = 22,827.20 : x
  2. Step 2: Convert to fraction form
    33,886.40/50,829.60 = 22,827.20/x
  3. Step 3: Cross multiply
    33,886.40x = 50,829.60 × 22,827.20
  4. Step 4: Simplify right side
    33,886.40x = 1,160,297,445.12
  5. Step 5: Solve for x
    x = 1,160,297,445.12/33,886.40
  6. Step 6: Final answer
    x = 34,240.80

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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.