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Finding the Fourth Proportional to 31,933.80, 48,060 and 24,076.80

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Solution

The fourth proportional to 31,933.80, 48,060 and 24,076.80 is: 36,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,933.80 : 48,060 = 24,076.80 : x
  2. Step 2: Convert to fraction form
    31,933.80/48,060 = 24,076.80/x
  3. Step 3: Cross multiply
    31,933.80x = 48,060 × 24,076.80
  4. Step 4: Simplify right side
    31,933.80x = 1,157,131,008
  5. Step 5: Solve for x
    x = 1,157,131,008/31,933.80
  6. Step 6: Final answer
    x = 36,235.31

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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.