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Finding the Fourth Proportional to 30,745.56, 42,421.59 and 17,314.14

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Solution

The fourth proportional to 30,745.56, 42,421.59 and 17,314.14 is: 23,889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.56 : 42,421.59 = 17,314.14 : x
  2. Step 2: Convert to fraction form
    30,745.56/42,421.59 = 17,314.14/x
  3. Step 3: Cross multiply
    30,745.56x = 42,421.59 × 17,314.14
  4. Step 4: Simplify right side
    30,745.56x = 734,493,348.28
  5. Step 5: Solve for x
    x = 734,493,348.28/30,745.56
  6. Step 6: Final answer
    x = 23,889.41

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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.