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Finding the Fourth Proportional to 49,536.84, 74,289.67 and 16,249.17

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Solution

The fourth proportional to 49,536.84, 74,289.67 and 16,249.17 is: 24,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,536.84 : 74,289.67 = 16,249.17 : x
  2. Step 2: Convert to fraction form
    49,536.84/74,289.67 = 16,249.17/x
  3. Step 3: Cross multiply
    49,536.84x = 74,289.67 × 16,249.17
  4. Step 4: Simplify right side
    49,536.84x = 1,207,145,715.04
  5. Step 5: Solve for x
    x = 1,207,145,715.04/49,536.84
  6. Step 6: Final answer
    x = 24,368.64

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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.