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Finding the Fourth Proportional to 31,774.68, 47,665.99 and 9,588.02

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Solution

The fourth proportional to 31,774.68, 47,665.99 and 9,588.02 is: 14,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.68 : 47,665.99 = 9,588.02 : x
  2. Step 2: Convert to fraction form
    31,774.68/47,665.99 = 9,588.02/x
  3. Step 3: Cross multiply
    31,774.68x = 47,665.99 × 9,588.02
  4. Step 4: Simplify right side
    31,774.68x = 457,022,489.41
  5. Step 5: Solve for x
    x = 457,022,489.41/31,774.68
  6. Step 6: Final answer
    x = 14,383.23

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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.