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Finding the Fourth Proportional to 31,924.93, 47,893.56 and 10,864.12

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Solution

The fourth proportional to 31,924.93, 47,893.56 and 10,864.12 is: 16,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.93 : 47,893.56 = 10,864.12 : x
  2. Step 2: Convert to fraction form
    31,924.93/47,893.56 = 10,864.12/x
  3. Step 3: Cross multiply
    31,924.93x = 47,893.56 × 10,864.12
  4. Step 4: Simplify right side
    31,924.93x = 520,321,383.07
  5. Step 5: Solve for x
    x = 520,321,383.07/31,924.93
  6. Step 6: Final answer
    x = 16,298.28

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