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Finding the Fourth Proportional to 29,235.54, 43,825.14 and 9,500.70

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Solution

The fourth proportional to 29,235.54, 43,825.14 and 9,500.70 is: 14,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,235.54 : 43,825.14 = 9,500.70 : x
  2. Step 2: Convert to fraction form
    29,235.54/43,825.14 = 9,500.70/x
  3. Step 3: Cross multiply
    29,235.54x = 43,825.14 × 9,500.70
  4. Step 4: Simplify right side
    29,235.54x = 416,369,507.60
  5. Step 5: Solve for x
    x = 416,369,507.60/29,235.54
  6. Step 6: Final answer
    x = 14,241.90

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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.