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Finding the Fourth Proportional to 71,214.08, 106,826.88 and 24,466.88

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Solution

The fourth proportional to 71,214.08, 106,826.88 and 24,466.88 is: 36,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,214.08 : 106,826.88 = 24,466.88 : x
  2. Step 2: Convert to fraction form
    71,214.08/106,826.88 = 24,466.88/x
  3. Step 3: Cross multiply
    71,214.08x = 106,826.88 × 24,466.88
  4. Step 4: Simplify right side
    71,214.08x = 2,613,720,453.73
  5. Step 5: Solve for x
    x = 2,613,720,453.73/71,214.08
  6. Step 6: Final answer
    x = 36,702.30

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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.