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Finding the Fourth Proportional to 31,417.82, 43,355.50 and 17,270.57

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Solution

The fourth proportional to 31,417.82, 43,355.50 and 17,270.57 is: 23,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.82 : 43,355.50 = 17,270.57 : x
  2. Step 2: Convert to fraction form
    31,417.82/43,355.50 = 17,270.57/x
  3. Step 3: Cross multiply
    31,417.82x = 43,355.50 × 17,270.57
  4. Step 4: Simplify right side
    31,417.82x = 748,773,937.68
  5. Step 5: Solve for x
    x = 748,773,937.68/31,417.82
  6. Step 6: Final answer
    x = 23,832.78

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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.