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Finding the Fourth Proportional to 54,698.96, 81,989.84 and 39,069.20

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Solution

The fourth proportional to 54,698.96, 81,989.84 and 39,069.20 is: 58,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698.96 : 81,989.84 = 39,069.20 : x
  2. Step 2: Convert to fraction form
    54,698.96/81,989.84 = 39,069.20/x
  3. Step 3: Cross multiply
    54,698.96x = 81,989.84 × 39,069.20
  4. Step 4: Simplify right side
    54,698.96x = 3,203,277,456.93
  5. Step 5: Solve for x
    x = 3,203,277,456.93/54,698.96
  6. Step 6: Final answer
    x = 58,561.94

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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.