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Finding the Fourth Proportional to 29,829.31, 44,716.14 and 10,094.14

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Solution

The fourth proportional to 29,829.31, 44,716.14 and 10,094.14 is: 15,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.31 : 44,716.14 = 10,094.14 : x
  2. Step 2: Convert to fraction form
    29,829.31/44,716.14 = 10,094.14/x
  3. Step 3: Cross multiply
    29,829.31x = 44,716.14 × 10,094.14
  4. Step 4: Simplify right side
    29,829.31x = 451,370,977.42
  5. Step 5: Solve for x
    x = 451,370,977.42/29,829.31
  6. Step 6: Final answer
    x = 15,131.79

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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.