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Finding the Fourth Proportional to 31,775.25, 47,663.22 and 9,588.82

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Solution

The fourth proportional to 31,775.25, 47,663.22 and 9,588.82 is: 14,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.25 : 47,663.22 = 9,588.82 : x
  2. Step 2: Convert to fraction form
    31,775.25/47,663.22 = 9,588.82/x
  3. Step 3: Cross multiply
    31,775.25x = 47,663.22 × 9,588.82
  4. Step 4: Simplify right side
    31,775.25x = 457,034,037.20
  5. Step 5: Solve for x
    x = 457,034,037.20/31,775.25
  6. Step 6: Final answer
    x = 14,383.33

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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.