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Finding the Fourth Proportional to 49,599, 74,380.14 and 16,309.35

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Solution

The fourth proportional to 49,599, 74,380.14 and 16,309.35 is: 24,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,599 : 74,380.14 = 16,309.35 : x
  2. Step 2: Convert to fraction form
    49,599/74,380.14 = 16,309.35/x
  3. Step 3: Cross multiply
    49,599x = 74,380.14 × 16,309.35
  4. Step 4: Simplify right side
    49,599x = 1,213,091,736.31
  5. Step 5: Solve for x
    x = 1,213,091,736.31/49,599
  6. Step 6: Final answer
    x = 24,457.99

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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.