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Finding the Fourth Proportional to 33,132.77, 49,715.12 and 16,494.27

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Solution

The fourth proportional to 33,132.77, 49,715.12 and 16,494.27 is: 24,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,132.77 : 49,715.12 = 16,494.27 : x
  2. Step 2: Convert to fraction form
    33,132.77/49,715.12 = 16,494.27/x
  3. Step 3: Cross multiply
    33,132.77x = 49,715.12 × 16,494.27
  4. Step 4: Simplify right side
    33,132.77x = 820,014,281.32
  5. Step 5: Solve for x
    x = 820,014,281.32/33,132.77
  6. Step 6: Final answer
    x = 24,749.35

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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.