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Finding the Fourth Proportional to 32,069, 48,104.22 and 11,009

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Solution

The fourth proportional to 32,069, 48,104.22 and 11,009 is: 16,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069 : 48,104.22 = 11,009 : x
  2. Step 2: Convert to fraction form
    32,069/48,104.22 = 11,009/x
  3. Step 3: Cross multiply
    32,069x = 48,104.22 × 11,009
  4. Step 4: Simplify right side
    32,069x = 529,579,357.98
  5. Step 5: Solve for x
    x = 529,579,357.98/32,069
  6. Step 6: Final answer
    x = 16,513.75

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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.