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Finding the Fourth Proportional to 31,648.62, 43,675.38 and 17,502.42

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Solution

The fourth proportional to 31,648.62, 43,675.38 and 17,502.42 is: 24,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.62 : 43,675.38 = 17,502.42 : x
  2. Step 2: Convert to fraction form
    31,648.62/43,675.38 = 17,502.42/x
  3. Step 3: Cross multiply
    31,648.62x = 43,675.38 × 17,502.42
  4. Step 4: Simplify right side
    31,648.62x = 764,424,844.42
  5. Step 5: Solve for x
    x = 764,424,844.42/31,648.62
  6. Step 6: Final answer
    x = 24,153.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.