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Finding the Fourth Proportional to 29,297.68, 43,963.80 and 10,842.64

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Solution

The fourth proportional to 29,297.68, 43,963.80 and 10,842.64 is: 16,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,297.68 : 43,963.80 = 10,842.64 : x
  2. Step 2: Convert to fraction form
    29,297.68/43,963.80 = 10,842.64/x
  3. Step 3: Cross multiply
    29,297.68x = 43,963.80 × 10,842.64
  4. Step 4: Simplify right side
    29,297.68x = 476,683,656.43
  5. Step 5: Solve for x
    x = 476,683,656.43/29,297.68
  6. Step 6: Final answer
    x = 16,270.36

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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.