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Finding the Fourth Proportional to 30,735.66, 42,414.80 and 17,308.24

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Solution

The fourth proportional to 30,735.66, 42,414.80 and 17,308.24 is: 23,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.66 : 42,414.80 = 17,308.24 : x
  2. Step 2: Convert to fraction form
    30,735.66/42,414.80 = 17,308.24/x
  3. Step 3: Cross multiply
    30,735.66x = 42,414.80 × 17,308.24
  4. Step 4: Simplify right side
    30,735.66x = 734,125,537.95
  5. Step 5: Solve for x
    x = 734,125,537.95/30,735.66
  6. Step 6: Final answer
    x = 23,885.14

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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.