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Finding the Fourth Proportional to 31,992.82, 47,998.46 and 9,809.47

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Solution

The fourth proportional to 31,992.82, 47,998.46 and 9,809.47 is: 14,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.82 : 47,998.46 = 9,809.47 : x
  2. Step 2: Convert to fraction form
    31,992.82/47,998.46 = 9,809.47/x
  3. Step 3: Cross multiply
    31,992.82x = 47,998.46 × 9,809.47
  4. Step 4: Simplify right side
    31,992.82x = 470,839,482.76
  5. Step 5: Solve for x
    x = 470,839,482.76/31,992.82
  6. Step 6: Final answer
    x = 14,717.03

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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.