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Finding the Fourth Proportional to 29,097.53, 43,632.47 and 13,297.87

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Solution

The fourth proportional to 29,097.53, 43,632.47 and 13,297.87 is: 19,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097.53 : 43,632.47 = 13,297.87 : x
  2. Step 2: Convert to fraction form
    29,097.53/43,632.47 = 13,297.87/x
  3. Step 3: Cross multiply
    29,097.53x = 43,632.47 × 13,297.87
  4. Step 4: Simplify right side
    29,097.53x = 580,219,001.62
  5. Step 5: Solve for x
    x = 580,219,001.62/29,097.53
  6. Step 6: Final answer
    x = 19,940.49

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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.