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Finding the Fourth Proportional to 83,755.45, 115,582.98 and 45,515.31

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Solution

The fourth proportional to 83,755.45, 115,582.98 and 45,515.31 is: 62,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,755.45 : 115,582.98 = 45,515.31 : x
  2. Step 2: Convert to fraction form
    83,755.45/115,582.98 = 45,515.31/x
  3. Step 3: Cross multiply
    83,755.45x = 115,582.98 × 45,515.31
  4. Step 4: Simplify right side
    83,755.45x = 5,260,795,165.42
  5. Step 5: Solve for x
    x = 5,260,795,165.42/83,755.45
  6. Step 6: Final answer
    x = 62,811.38

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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.