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Finding the Fourth Proportional to 31,814.01, 47,717.37 and 8,442.27

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Solution

The fourth proportional to 31,814.01, 47,717.37 and 8,442.27 is: 12,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,814.01 : 47,717.37 = 8,442.27 : x
  2. Step 2: Convert to fraction form
    31,814.01/47,717.37 = 8,442.27/x
  3. Step 3: Cross multiply
    31,814.01x = 47,717.37 × 8,442.27
  4. Step 4: Simplify right side
    31,814.01x = 402,842,921.23
  5. Step 5: Solve for x
    x = 402,842,921.23/31,814.01
  6. Step 6: Final answer
    x = 12,662.44

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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.