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Finding the Fourth Proportional to 31,714.37, 47,574.68 and 11,729.10

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Solution

The fourth proportional to 31,714.37, 47,574.68 and 11,729.10 is: 17,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.37 : 47,574.68 = 11,729.10 : x
  2. Step 2: Convert to fraction form
    31,714.37/47,574.68 = 11,729.10/x
  3. Step 3: Cross multiply
    31,714.37x = 47,574.68 × 11,729.10
  4. Step 4: Simplify right side
    31,714.37x = 558,008,120.54
  5. Step 5: Solve for x
    x = 558,008,120.54/31,714.37
  6. Step 6: Final answer
    x = 17,594.81

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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.