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Finding the Fourth Proportional to 32,001.39, 47,992.77 and 9,809.82

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Solution

The fourth proportional to 32,001.39, 47,992.77 and 9,809.82 is: 14,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.39 : 47,992.77 = 9,809.82 : x
  2. Step 2: Convert to fraction form
    32,001.39/47,992.77 = 9,809.82/x
  3. Step 3: Cross multiply
    32,001.39x = 47,992.77 × 9,809.82
  4. Step 4: Simplify right side
    32,001.39x = 470,800,435.00
  5. Step 5: Solve for x
    x = 470,800,435.00/32,001.39
  6. Step 6: Final answer
    x = 14,711.87

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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.