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Finding the Fourth Proportional to 30,745.31, 42,420.04 and 17,315.78

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Solution

The fourth proportional to 30,745.31, 42,420.04 and 17,315.78 is: 23,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.31 : 42,420.04 = 17,315.78 : x
  2. Step 2: Convert to fraction form
    30,745.31/42,420.04 = 17,315.78/x
  3. Step 3: Cross multiply
    30,745.31x = 42,420.04 × 17,315.78
  4. Step 4: Simplify right side
    30,745.31x = 734,535,824.84
  5. Step 5: Solve for x
    x = 734,535,824.84/30,745.31
  6. Step 6: Final answer
    x = 23,890.99

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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.