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Finding the Fourth Proportional to 29,431.22, 44,152.26 and 9,711.14

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Solution

The fourth proportional to 29,431.22, 44,152.26 and 9,711.14 is: 14,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.22 : 44,152.26 = 9,711.14 : x
  2. Step 2: Convert to fraction form
    29,431.22/44,152.26 = 9,711.14/x
  3. Step 3: Cross multiply
    29,431.22x = 44,152.26 × 9,711.14
  4. Step 4: Simplify right side
    29,431.22x = 428,768,778.18
  5. Step 5: Solve for x
    x = 428,768,778.18/29,431.22
  6. Step 6: Final answer
    x = 14,568.50

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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.