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Finding the Fourth Proportional to 54,132.80, 81,160.80 and 24,564.80

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Solution

The fourth proportional to 54,132.80, 81,160.80 and 24,564.80 is: 36,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,132.80 : 81,160.80 = 24,564.80 : x
  2. Step 2: Convert to fraction form
    54,132.80/81,160.80 = 24,564.80/x
  3. Step 3: Cross multiply
    54,132.80x = 81,160.80 × 24,564.80
  4. Step 4: Simplify right side
    54,132.80x = 1,993,698,819.84
  5. Step 5: Solve for x
    x = 1,993,698,819.84/54,132.80
  6. Step 6: Final answer
    x = 36,829.77

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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.