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Finding the Fourth Proportional to 31,833.87, 47,750.68 and 9,649.04

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Solution

The fourth proportional to 31,833.87, 47,750.68 and 9,649.04 is: 14,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.87 : 47,750.68 = 9,649.04 : x
  2. Step 2: Convert to fraction form
    31,833.87/47,750.68 = 9,649.04/x
  3. Step 3: Cross multiply
    31,833.87x = 47,750.68 × 9,649.04
  4. Step 4: Simplify right side
    31,833.87x = 460,747,958.47
  5. Step 5: Solve for x
    x = 460,747,958.47/31,833.87
  6. Step 6: Final answer
    x = 14,473.51

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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.