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Finding the Fourth Proportional to 29,648.14, 44,474.55 and 8,588.50

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Solution

The fourth proportional to 29,648.14, 44,474.55 and 8,588.50 is: 12,883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,648.14 : 44,474.55 = 8,588.50 : x
  2. Step 2: Convert to fraction form
    29,648.14/44,474.55 = 8,588.50/x
  3. Step 3: Cross multiply
    29,648.14x = 44,474.55 × 8,588.50
  4. Step 4: Simplify right side
    29,648.14x = 381,969,672.68
  5. Step 5: Solve for x
    x = 381,969,672.68/29,648.14
  6. Step 6: Final answer
    x = 12,883.43

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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.