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Finding the Fourth Proportional to 31,398.72, 43,331.20 and 17,252

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Solution

The fourth proportional to 31,398.72, 43,331.20 and 17,252 is: 23,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.72 : 43,331.20 = 17,252 : x
  2. Step 2: Convert to fraction form
    31,398.72/43,331.20 = 17,252/x
  3. Step 3: Cross multiply
    31,398.72x = 43,331.20 × 17,252
  4. Step 4: Simplify right side
    31,398.72x = 747,549,862.40
  5. Step 5: Solve for x
    x = 747,549,862.40/31,398.72
  6. Step 6: Final answer
    x = 23,808.29

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