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Finding the Fourth Proportional to 82,833.75, 114,311.79 and 45,108

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Solution

The fourth proportional to 82,833.75, 114,311.79 and 45,108 is: 62,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,833.75 : 114,311.79 = 45,108 : x
  2. Step 2: Convert to fraction form
    82,833.75/114,311.79 = 45,108/x
  3. Step 3: Cross multiply
    82,833.75x = 114,311.79 × 45,108
  4. Step 4: Simplify right side
    82,833.75x = 5,156,376,223.32
  5. Step 5: Solve for x
    x = 5,156,376,223.32/82,833.75
  6. Step 6: Final answer
    x = 62,249.70

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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.