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Finding the Fourth Proportional to 77,163.38, 106,437.79 and 52,953.29

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Solution

The fourth proportional to 77,163.38, 106,437.79 and 52,953.29 is: 73,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,163.38 : 106,437.79 = 52,953.29 : x
  2. Step 2: Convert to fraction form
    77,163.38/106,437.79 = 52,953.29/x
  3. Step 3: Cross multiply
    77,163.38x = 106,437.79 × 52,953.29
  4. Step 4: Simplify right side
    77,163.38x = 5,636,231,160.83
  5. Step 5: Solve for x
    x = 5,636,231,160.83/77,163.38
  6. Step 6: Final answer
    x = 73,042.82

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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.