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Finding the Fourth Proportional to 29,467.50, 44,209.37 and 8,691

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Solution

The fourth proportional to 29,467.50, 44,209.37 and 8,691 is: 13,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,467.50 : 44,209.37 = 8,691 : x
  2. Step 2: Convert to fraction form
    29,467.50/44,209.37 = 8,691/x
  3. Step 3: Cross multiply
    29,467.50x = 44,209.37 × 8,691
  4. Step 4: Simplify right side
    29,467.50x = 384,223,591.22
  5. Step 5: Solve for x
    x = 384,223,591.22/29,467.50
  6. Step 6: Final answer
    x = 13,038.89

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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.