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Finding the Fourth Proportional to 32,909.12, 49,353.44 and 11,016

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Solution

The fourth proportional to 32,909.12, 49,353.44 and 11,016 is: 16,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,909.12 : 49,353.44 = 11,016 : x
  2. Step 2: Convert to fraction form
    32,909.12/49,353.44 = 11,016/x
  3. Step 3: Cross multiply
    32,909.12x = 49,353.44 × 11,016
  4. Step 4: Simplify right side
    32,909.12x = 543,677,495.04
  5. Step 5: Solve for x
    x = 543,677,495.04/32,909.12
  6. Step 6: Final answer
    x = 16,520.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.