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Finding the Fourth Proportional to 31,504.48, 47,285.92 and 15,933.12

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Solution

The fourth proportional to 31,504.48, 47,285.92 and 15,933.12 is: 23,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.48 : 47,285.92 = 15,933.12 : x
  2. Step 2: Convert to fraction form
    31,504.48/47,285.92 = 15,933.12/x
  3. Step 3: Cross multiply
    31,504.48x = 47,285.92 × 15,933.12
  4. Step 4: Simplify right side
    31,504.48x = 753,412,237.67
  5. Step 5: Solve for x
    x = 753,412,237.67/31,504.48
  6. Step 6: Final answer
    x = 23,914.45

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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.