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Finding the Fourth Proportional to 92,014.50, 138,028.32 and 24,546.16

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Solution

The fourth proportional to 92,014.50, 138,028.32 and 24,546.16 is: 36,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,014.50 : 138,028.32 = 24,546.16 : x
  2. Step 2: Convert to fraction form
    92,014.50/138,028.32 = 24,546.16/x
  3. Step 3: Cross multiply
    92,014.50x = 138,028.32 × 24,546.16
  4. Step 4: Simplify right side
    92,014.50x = 3,388,065,399.79
  5. Step 5: Solve for x
    x = 3,388,065,399.79/92,014.50
  6. Step 6: Final answer
    x = 36,820.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.