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Finding the Fourth Proportional to 24,745.82, 37,288.50 and 20,459.30

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Solution

The fourth proportional to 24,745.82, 37,288.50 and 20,459.30 is: 30,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,745.82 : 37,288.50 = 20,459.30 : x
  2. Step 2: Convert to fraction form
    24,745.82/37,288.50 = 20,459.30/x
  3. Step 3: Cross multiply
    24,745.82x = 37,288.50 × 20,459.30
  4. Step 4: Simplify right side
    24,745.82x = 762,896,344.89
  5. Step 5: Solve for x
    x = 762,896,344.89/24,745.82
  6. Step 6: Final answer
    x = 30,829.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.