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Finding the Fourth Proportional to 83,204.42, 114,822.11 and 44,963.83

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Solution

The fourth proportional to 83,204.42, 114,822.11 and 44,963.83 is: 62,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,204.42 : 114,822.11 = 44,963.83 : x
  2. Step 2: Convert to fraction form
    83,204.42/114,822.11 = 44,963.83/x
  3. Step 3: Cross multiply
    83,204.42x = 114,822.11 × 44,963.83
  4. Step 4: Simplify right side
    83,204.42x = 5,162,842,160.23
  5. Step 5: Solve for x
    x = 5,162,842,160.23/83,204.42
  6. Step 6: Final answer
    x = 62,050.10

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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.