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Finding the Fourth Proportional to 82,474.87, 113,866.84 and 56,677.86

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Solution

The fourth proportional to 82,474.87, 113,866.84 and 56,677.86 is: 78,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,474.87 : 113,866.84 = 56,677.86 : x
  2. Step 2: Convert to fraction form
    82,474.87/113,866.84 = 56,677.86/x
  3. Step 3: Cross multiply
    82,474.87x = 113,866.84 × 56,677.86
  4. Step 4: Simplify right side
    82,474.87x = 6,453,728,816.16
  5. Step 5: Solve for x
    x = 6,453,728,816.16/82,474.87
  6. Step 6: Final answer
    x = 78,250.85

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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.