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Finding the Fourth Proportional to 32,544.96, 48,832.80 and 32,020.80

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Solution

The fourth proportional to 32,544.96, 48,832.80 and 32,020.80 is: 48,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,544.96 : 48,832.80 = 32,020.80 : x
  2. Step 2: Convert to fraction form
    32,544.96/48,832.80 = 32,020.80/x
  3. Step 3: Cross multiply
    32,544.96x = 48,832.80 × 32,020.80
  4. Step 4: Simplify right side
    32,544.96x = 1,563,665,322.24
  5. Step 5: Solve for x
    x = 1,563,665,322.24/32,544.96
  6. Step 6: Final answer
    x = 48,046.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.