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Finding the Fourth Proportional to 29,789.44, 44,676 and 8,734.16

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Solution

The fourth proportional to 29,789.44, 44,676 and 8,734.16 is: 13,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,789.44 : 44,676 = 8,734.16 : x
  2. Step 2: Convert to fraction form
    29,789.44/44,676 = 8,734.16/x
  3. Step 3: Cross multiply
    29,789.44x = 44,676 × 8,734.16
  4. Step 4: Simplify right side
    29,789.44x = 390,207,332.16
  5. Step 5: Solve for x
    x = 390,207,332.16/29,789.44
  6. Step 6: Final answer
    x = 13,098.85

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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.