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Finding the Fourth Proportional to 33,829.02, 50,746.52 and 8,869

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Solution

The fourth proportional to 33,829.02, 50,746.52 and 8,869 is: 13,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.02 : 50,746.52 = 8,869 : x
  2. Step 2: Convert to fraction form
    33,829.02/50,746.52 = 8,869/x
  3. Step 3: Cross multiply
    33,829.02x = 50,746.52 × 8,869
  4. Step 4: Simplify right side
    33,829.02x = 450,070,885.88
  5. Step 5: Solve for x
    x = 450,070,885.88/33,829.02
  6. Step 6: Final answer
    x = 13,304.28

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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.