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Finding the Fourth Proportional to 82,104.66, 123,297.71 and 50,700.51

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Solution

The fourth proportional to 82,104.66, 123,297.71 and 50,700.51 is: 76,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,104.66 : 123,297.71 = 50,700.51 : x
  2. Step 2: Convert to fraction form
    82,104.66/123,297.71 = 50,700.51/x
  3. Step 3: Cross multiply
    82,104.66x = 123,297.71 × 50,700.51
  4. Step 4: Simplify right side
    82,104.66x = 6,251,256,525.33
  5. Step 5: Solve for x
    x = 6,251,256,525.33/82,104.66
  6. Step 6: Final answer
    x = 76,137.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.