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Finding the Fourth Proportional to 30,758.96, 42,447.17 and 17,334.52

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Solution

The fourth proportional to 30,758.96, 42,447.17 and 17,334.52 is: 23,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.96 : 42,447.17 = 17,334.52 : x
  2. Step 2: Convert to fraction form
    30,758.96/42,447.17 = 17,334.52/x
  3. Step 3: Cross multiply
    30,758.96x = 42,447.17 × 17,334.52
  4. Step 4: Simplify right side
    30,758.96x = 735,801,317.31
  5. Step 5: Solve for x
    x = 735,801,317.31/30,758.96
  6. Step 6: Final answer
    x = 23,921.53

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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.