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Finding the Fourth Proportional to 54,861.80, 75,719.78 and 32,205.80

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Solution

The fourth proportional to 54,861.80, 75,719.78 and 32,205.80 is: 44,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,861.80 : 75,719.78 = 32,205.80 : x
  2. Step 2: Convert to fraction form
    54,861.80/75,719.78 = 32,205.80/x
  3. Step 3: Cross multiply
    54,861.80x = 75,719.78 × 32,205.80
  4. Step 4: Simplify right side
    54,861.80x = 2,438,616,090.72
  5. Step 5: Solve for x
    x = 2,438,616,090.72/54,861.80
  6. Step 6: Final answer
    x = 44,450.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.