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Finding the Fourth Proportional to 29,269.52, 43,914.14 and 9,282.28

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Solution

The fourth proportional to 29,269.52, 43,914.14 and 9,282.28 is: 13,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,269.52 : 43,914.14 = 9,282.28 : x
  2. Step 2: Convert to fraction form
    29,269.52/43,914.14 = 9,282.28/x
  3. Step 3: Cross multiply
    29,269.52x = 43,914.14 × 9,282.28
  4. Step 4: Simplify right side
    29,269.52x = 407,623,343.44
  5. Step 5: Solve for x
    x = 407,623,343.44/29,269.52
  6. Step 6: Final answer
    x = 13,926.55

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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.