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Finding the Fourth Proportional to 29,264.10, 43,891.55 and 9,542.56

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Solution

The fourth proportional to 29,264.10, 43,891.55 and 9,542.56 is: 14,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,264.10 : 43,891.55 = 9,542.56 : x
  2. Step 2: Convert to fraction form
    29,264.10/43,891.55 = 9,542.56/x
  3. Step 3: Cross multiply
    29,264.10x = 43,891.55 × 9,542.56
  4. Step 4: Simplify right side
    29,264.10x = 418,837,529.91
  5. Step 5: Solve for x
    x = 418,837,529.91/29,264.10
  6. Step 6: Final answer
    x = 14,312.33

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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.