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Finding the Fourth Proportional to 29,238.42, 43,858.02 and 9,517.08

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Solution

The fourth proportional to 29,238.42, 43,858.02 and 9,517.08 is: 14,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238.42 : 43,858.02 = 9,517.08 : x
  2. Step 2: Convert to fraction form
    29,238.42/43,858.02 = 9,517.08/x
  3. Step 3: Cross multiply
    29,238.42x = 43,858.02 × 9,517.08
  4. Step 4: Simplify right side
    29,238.42x = 417,400,284.98
  5. Step 5: Solve for x
    x = 417,400,284.98/29,238.42
  6. Step 6: Final answer
    x = 14,275.75

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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.