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Finding the Fourth Proportional to 31,458.38, 43,412.71 and 17,118.34

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Solution

The fourth proportional to 31,458.38, 43,412.71 and 17,118.34 is: 23,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458.38 : 43,412.71 = 17,118.34 : x
  2. Step 2: Convert to fraction form
    31,458.38/43,412.71 = 17,118.34/x
  3. Step 3: Cross multiply
    31,458.38x = 43,412.71 × 17,118.34
  4. Step 4: Simplify right side
    31,458.38x = 743,153,410.87
  5. Step 5: Solve for x
    x = 743,153,410.87/31,458.38
  6. Step 6: Final answer
    x = 23,623.39

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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.