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Finding the Fourth Proportional to 31,699.44, 47,553.81 and 9,514.58

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Solution

The fourth proportional to 31,699.44, 47,553.81 and 9,514.58 is: 14,273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699.44 : 47,553.81 = 9,514.58 : x
  2. Step 2: Convert to fraction form
    31,699.44/47,553.81 = 9,514.58/x
  3. Step 3: Cross multiply
    31,699.44x = 47,553.81 × 9,514.58
  4. Step 4: Simplify right side
    31,699.44x = 452,454,291.78
  5. Step 5: Solve for x
    x = 452,454,291.78/31,699.44
  6. Step 6: Final answer
    x = 14,273.26

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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.