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Finding the Fourth Proportional to 84,200.32, 116,220.54 and 49,776.94

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Solution

The fourth proportional to 84,200.32, 116,220.54 and 49,776.94 is: 68,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,200.32 : 116,220.54 = 49,776.94 : x
  2. Step 2: Convert to fraction form
    84,200.32/116,220.54 = 49,776.94/x
  3. Step 3: Cross multiply
    84,200.32x = 116,220.54 × 49,776.94
  4. Step 4: Simplify right side
    84,200.32x = 5,785,102,846.35
  5. Step 5: Solve for x
    x = 5,785,102,846.35/84,200.32
  6. Step 6: Final answer
    x = 68,706.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.