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Finding the Fourth Proportional to 29,257.34, 43,887.23 and 9,536.07

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Solution

The fourth proportional to 29,257.34, 43,887.23 and 9,536.07 is: 14,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,257.34 : 43,887.23 = 9,536.07 : x
  2. Step 2: Convert to fraction form
    29,257.34/43,887.23 = 9,536.07/x
  3. Step 3: Cross multiply
    29,257.34x = 43,887.23 × 9,536.07
  4. Step 4: Simplify right side
    29,257.34x = 418,511,685.47
  5. Step 5: Solve for x
    x = 418,511,685.47/29,257.34
  6. Step 6: Final answer
    x = 14,304.50

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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.