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Finding the Fourth Proportional to 82,891.68, 114,356.28 and 57,755.76

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Solution

The fourth proportional to 82,891.68, 114,356.28 and 57,755.76 is: 79,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,891.68 : 114,356.28 = 57,755.76 : x
  2. Step 2: Convert to fraction form
    82,891.68/114,356.28 = 57,755.76/x
  3. Step 3: Cross multiply
    82,891.68x = 114,356.28 × 57,755.76
  4. Step 4: Simplify right side
    82,891.68x = 6,604,733,862.17
  5. Step 5: Solve for x
    x = 6,604,733,862.17/82,891.68
  6. Step 6: Final answer
    x = 79,679.09

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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.