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Finding the Fourth Proportional to 31,415.72, 43,354.34 and 17,268.52

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Solution

The fourth proportional to 31,415.72, 43,354.34 and 17,268.52 is: 23,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,415.72 : 43,354.34 = 17,268.52 : x
  2. Step 2: Convert to fraction form
    31,415.72/43,354.34 = 17,268.52/x
  3. Step 3: Cross multiply
    31,415.72x = 43,354.34 × 17,268.52
  4. Step 4: Simplify right side
    31,415.72x = 748,665,287.38
  5. Step 5: Solve for x
    x = 748,665,287.38/31,415.72
  6. Step 6: Final answer
    x = 23,830.91

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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.