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Finding the Fourth Proportional to 29,221.02, 43,837.74 and 9,499.14

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Solution

The fourth proportional to 29,221.02, 43,837.74 and 9,499.14 is: 14,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,221.02 : 43,837.74 = 9,499.14 : x
  2. Step 2: Convert to fraction form
    29,221.02/43,837.74 = 9,499.14/x
  3. Step 3: Cross multiply
    29,221.02x = 43,837.74 × 9,499.14
  4. Step 4: Simplify right side
    29,221.02x = 416,420,829.54
  5. Step 5: Solve for x
    x = 416,420,829.54/29,221.02
  6. Step 6: Final answer
    x = 14,250.73

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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.