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Finding the Fourth Proportional to 82,751.36, 114,198.36 and 45,026.24

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Solution

The fourth proportional to 82,751.36, 114,198.36 and 45,026.24 is: 62,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,751.36 : 114,198.36 = 45,026.24 : x
  2. Step 2: Convert to fraction form
    82,751.36/114,198.36 = 45,026.24/x
  3. Step 3: Cross multiply
    82,751.36x = 114,198.36 × 45,026.24
  4. Step 4: Simplify right side
    82,751.36x = 5,141,922,764.97
  5. Step 5: Solve for x
    x = 5,141,922,764.97/82,751.36
  6. Step 6: Final answer
    x = 62,137.02

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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.