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Finding the Fourth Proportional to 83,018.66, 114,582.80 and 50,758.79

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Solution

The fourth proportional to 83,018.66, 114,582.80 and 50,758.79 is: 70,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,018.66 : 114,582.80 = 50,758.79 : x
  2. Step 2: Convert to fraction form
    83,018.66/114,582.80 = 50,758.79/x
  3. Step 3: Cross multiply
    83,018.66x = 114,582.80 × 50,758.79
  4. Step 4: Simplify right side
    83,018.66x = 5,816,083,836.79
  5. Step 5: Solve for x
    x = 5,816,083,836.79/83,018.66
  6. Step 6: Final answer
    x = 70,057.55

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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.