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Finding the Fourth Proportional to 82,640.51, 114,043.91 and 44,914.76

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Solution

The fourth proportional to 82,640.51, 114,043.91 and 44,914.76 is: 61,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,640.51 : 114,043.91 = 44,914.76 : x
  2. Step 2: Convert to fraction form
    82,640.51/114,043.91 = 44,914.76/x
  3. Step 3: Cross multiply
    82,640.51x = 114,043.91 × 44,914.76
  4. Step 4: Simplify right side
    82,640.51x = 5,122,254,847.11
  5. Step 5: Solve for x
    x = 5,122,254,847.11/82,640.51
  6. Step 6: Final answer
    x = 61,982.37

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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.