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Finding the Fourth Proportional to 31,774.70, 47,662.37 and 9,588.26

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Solution

The fourth proportional to 31,774.70, 47,662.37 and 9,588.26 is: 14,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.70 : 47,662.37 = 9,588.26 : x
  2. Step 2: Convert to fraction form
    31,774.70/47,662.37 = 9,588.26/x
  3. Step 3: Cross multiply
    31,774.70x = 47,662.37 × 9,588.26
  4. Step 4: Simplify right side
    31,774.70x = 456,999,195.78
  5. Step 5: Solve for x
    x = 456,999,195.78/31,774.70
  6. Step 6: Final answer
    x = 14,382.49

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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.