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Finding the Fourth Proportional to 29,231.26, 43,842.02 and 10,507.50

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Solution

The fourth proportional to 29,231.26, 43,842.02 and 10,507.50 is: 15,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,231.26 : 43,842.02 = 10,507.50 : x
  2. Step 2: Convert to fraction form
    29,231.26/43,842.02 = 10,507.50/x
  3. Step 3: Cross multiply
    29,231.26x = 43,842.02 × 10,507.50
  4. Step 4: Simplify right side
    29,231.26x = 460,670,025.15
  5. Step 5: Solve for x
    x = 460,670,025.15/29,231.26
  6. Step 6: Final answer
    x = 15,759.50

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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.