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Finding the Fourth Proportional to 31,775.70, 47,663.87 and 9,589.26

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Solution

The fourth proportional to 31,775.70, 47,663.87 and 9,589.26 is: 14,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.70 : 47,663.87 = 9,589.26 : x
  2. Step 2: Convert to fraction form
    31,775.70/47,663.87 = 9,589.26/x
  3. Step 3: Cross multiply
    31,775.70x = 47,663.87 × 9,589.26
  4. Step 4: Simplify right side
    31,775.70x = 457,061,242.04
  5. Step 5: Solve for x
    x = 457,061,242.04/31,775.70
  6. Step 6: Final answer
    x = 14,383.99

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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.