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Finding the Fourth Proportional to 29,012.28, 43,524 and 9,289.32

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Solution

The fourth proportional to 29,012.28, 43,524 and 9,289.32 is: 13,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,012.28 : 43,524 = 9,289.32 : x
  2. Step 2: Convert to fraction form
    29,012.28/43,524 = 9,289.32/x
  3. Step 3: Cross multiply
    29,012.28x = 43,524 × 9,289.32
  4. Step 4: Simplify right side
    29,012.28x = 404,308,363.68
  5. Step 5: Solve for x
    x = 404,308,363.68/29,012.28
  6. Step 6: Final answer
    x = 13,935.77

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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.