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Finding the Fourth Proportional to 32,056.80, 47,998.80 and 25,144.80

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Solution

The fourth proportional to 32,056.80, 47,998.80 and 25,144.80 is: 37,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,056.80 : 47,998.80 = 25,144.80 : x
  2. Step 2: Convert to fraction form
    32,056.80/47,998.80 = 25,144.80/x
  3. Step 3: Cross multiply
    32,056.80x = 47,998.80 × 25,144.80
  4. Step 4: Simplify right side
    32,056.80x = 1,206,920,226.24
  5. Step 5: Solve for x
    x = 1,206,920,226.24/32,056.80
  6. Step 6: Final answer
    x = 37,649.43

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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.