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Finding the Fourth Proportional to 30,735.41, 42,414.46 and 17,307.99

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Solution

The fourth proportional to 30,735.41, 42,414.46 and 17,307.99 is: 23,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.41 : 42,414.46 = 17,307.99 : x
  2. Step 2: Convert to fraction form
    30,735.41/42,414.46 = 17,307.99/x
  3. Step 3: Cross multiply
    30,735.41x = 42,414.46 × 17,307.99
  4. Step 4: Simplify right side
    30,735.41x = 734,108,963.00
  5. Step 5: Solve for x
    x = 734,108,963.00/30,735.41
  6. Step 6: Final answer
    x = 23,884.79

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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.