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Finding the Fourth Proportional to 82,959.92, 114,448.26 and 56,092.70

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Solution

The fourth proportional to 82,959.92, 114,448.26 and 56,092.70 is: 77,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,959.92 : 114,448.26 = 56,092.70 : x
  2. Step 2: Convert to fraction form
    82,959.92/114,448.26 = 56,092.70/x
  3. Step 3: Cross multiply
    82,959.92x = 114,448.26 × 56,092.70
  4. Step 4: Simplify right side
    82,959.92x = 6,419,711,913.70
  5. Step 5: Solve for x
    x = 6,419,711,913.70/82,959.92
  6. Step 6: Final answer
    x = 77,383.29

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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.