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Finding the Fourth Proportional to 83,329.35, 114,922.11 and 57,878.11

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Solution

The fourth proportional to 83,329.35, 114,922.11 and 57,878.11 is: 79,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,329.35 : 114,922.11 = 57,878.11 : x
  2. Step 2: Convert to fraction form
    83,329.35/114,922.11 = 57,878.11/x
  3. Step 3: Cross multiply
    83,329.35x = 114,922.11 × 57,878.11
  4. Step 4: Simplify right side
    83,329.35x = 6,651,474,524.01
  5. Step 5: Solve for x
    x = 6,651,474,524.01/83,329.35
  6. Step 6: Final answer
    x = 79,821.51

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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.