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Finding the Fourth Proportional to 83,582.96, 115,344.11 and 45,342.54

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Solution

The fourth proportional to 83,582.96, 115,344.11 and 45,342.54 is: 62,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,582.96 : 115,344.11 = 45,342.54 : x
  2. Step 2: Convert to fraction form
    83,582.96/115,344.11 = 45,342.54/x
  3. Step 3: Cross multiply
    83,582.96x = 115,344.11 × 45,342.54
  4. Step 4: Simplify right side
    83,582.96x = 5,229,994,694.73
  5. Step 5: Solve for x
    x = 5,229,994,694.73/83,582.96
  6. Step 6: Final answer
    x = 62,572.50

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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.