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Finding the Fourth Proportional to 31,372.34, 43,314.09 and 19,448.42

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Solution

The fourth proportional to 31,372.34, 43,314.09 and 19,448.42 is: 26,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,372.34 : 43,314.09 = 19,448.42 : x
  2. Step 2: Convert to fraction form
    31,372.34/43,314.09 = 19,448.42/x
  3. Step 3: Cross multiply
    31,372.34x = 43,314.09 × 19,448.42
  4. Step 4: Simplify right side
    31,372.34x = 842,390,614.24
  5. Step 5: Solve for x
    x = 842,390,614.24/31,372.34
  6. Step 6: Final answer
    x = 26,851.38

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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.