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Finding the Fourth Proportional to 31,671.54, 47,507.31 and 9,487.26

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Solution

The fourth proportional to 31,671.54, 47,507.31 and 9,487.26 is: 14,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671.54 : 47,507.31 = 9,487.26 : x
  2. Step 2: Convert to fraction form
    31,671.54/47,507.31 = 9,487.26/x
  3. Step 3: Cross multiply
    31,671.54x = 47,507.31 × 9,487.26
  4. Step 4: Simplify right side
    31,671.54x = 450,714,201.87
  5. Step 5: Solve for x
    x = 450,714,201.87/31,671.54
  6. Step 6: Final answer
    x = 14,230.89

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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.