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Finding the Fourth Proportional to 83,285.73, 114,932.87 and 51,015.33

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Solution

The fourth proportional to 83,285.73, 114,932.87 and 51,015.33 is: 70,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,285.73 : 114,932.87 = 51,015.33 : x
  2. Step 2: Convert to fraction form
    83,285.73/114,932.87 = 51,015.33/x
  3. Step 3: Cross multiply
    83,285.73x = 114,932.87 × 51,015.33
  4. Step 4: Simplify right side
    83,285.73x = 5,863,338,035.82
  5. Step 5: Solve for x
    x = 5,863,338,035.82/83,285.73
  6. Step 6: Final answer
    x = 70,400.27

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1.5x scale

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.