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Finding the Fourth Proportional to 83,238.54, 114,836.82 and 53,018.46

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Solution

The fourth proportional to 83,238.54, 114,836.82 and 53,018.46 is: 73,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,238.54 : 114,836.82 = 53,018.46 : x
  2. Step 2: Convert to fraction form
    83,238.54/114,836.82 = 53,018.46/x
  3. Step 3: Cross multiply
    83,238.54x = 114,836.82 × 53,018.46
  4. Step 4: Simplify right side
    83,238.54x = 6,088,471,347.70
  5. Step 5: Solve for x
    x = 6,088,471,347.70/83,238.54
  6. Step 6: Final answer
    x = 73,144.86

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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.