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Finding the Fourth Proportional to 106,494.65, 146,963.10 and 58,747.98

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Solution

The fourth proportional to 106,494.65, 146,963.10 and 58,747.98 is: 81,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,494.65 : 146,963.10 = 58,747.98 : x
  2. Step 2: Convert to fraction form
    106,494.65/146,963.10 = 58,747.98/x
  3. Step 3: Cross multiply
    106,494.65x = 146,963.10 × 58,747.98
  4. Step 4: Simplify right side
    106,494.65x = 8,633,785,259.54
  5. Step 5: Solve for x
    x = 8,633,785,259.54/106,494.65
  6. Step 6: Final answer
    x = 81,072.48

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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.