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Finding the Fourth Proportional to 49,589.32, 74,380.38 and 16,309

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Solution

The fourth proportional to 49,589.32, 74,380.38 and 16,309 is: 24,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,589.32 : 74,380.38 = 16,309 : x
  2. Step 2: Convert to fraction form
    49,589.32/74,380.38 = 16,309/x
  3. Step 3: Cross multiply
    49,589.32x = 74,380.38 × 16,309
  4. Step 4: Simplify right side
    49,589.32x = 1,213,069,617.42
  5. Step 5: Solve for x
    x = 1,213,069,617.42/49,589.32
  6. Step 6: Final answer
    x = 24,462.32

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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.