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Finding the Fourth Proportional to 32,911.77, 49,305.66 and 16,252.30

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Solution

The fourth proportional to 32,911.77, 49,305.66 and 16,252.30 is: 24,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,911.77 : 49,305.66 = 16,252.30 : x
  2. Step 2: Convert to fraction form
    32,911.77/49,305.66 = 16,252.30/x
  3. Step 3: Cross multiply
    32,911.77x = 49,305.66 × 16,252.30
  4. Step 4: Simplify right side
    32,911.77x = 801,330,378.02
  5. Step 5: Solve for x
    x = 801,330,378.02/32,911.77
  6. Step 6: Final answer
    x = 24,347.84

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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.