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Finding the Fourth Proportional to 31,993.41, 47,997 and 9,808.32

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Solution

The fourth proportional to 31,993.41, 47,997 and 9,808.32 is: 14,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.41 : 47,997 = 9,808.32 : x
  2. Step 2: Convert to fraction form
    31,993.41/47,997 = 9,808.32/x
  3. Step 3: Cross multiply
    31,993.41x = 47,997 × 9,808.32
  4. Step 4: Simplify right side
    31,993.41x = 470,769,935.04
  5. Step 5: Solve for x
    x = 470,769,935.04/31,993.41
  6. Step 6: Final answer
    x = 14,714.59

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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.