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Finding the Fourth Proportional to 54,594.90, 81,894.51 and 53,821.62

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Solution

The fourth proportional to 54,594.90, 81,894.51 and 53,821.62 is: 80,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,594.90 : 81,894.51 = 53,821.62 : x
  2. Step 2: Convert to fraction form
    54,594.90/81,894.51 = 53,821.62/x
  3. Step 3: Cross multiply
    54,594.90x = 81,894.51 × 53,821.62
  4. Step 4: Simplify right side
    54,594.90x = 4,407,695,197.31
  5. Step 5: Solve for x
    x = 4,407,695,197.31/54,594.90
  6. Step 6: Final answer
    x = 80,734.56

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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.