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Finding the Fourth Proportional to 106,393.31, 146,823.78 and 58,648.37

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Solution

The fourth proportional to 106,393.31, 146,823.78 and 58,648.37 is: 80,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,393.31 : 146,823.78 = 58,648.37 : x
  2. Step 2: Convert to fraction form
    106,393.31/146,823.78 = 58,648.37/x
  3. Step 3: Cross multiply
    106,393.31x = 146,823.78 × 58,648.37
  4. Step 4: Simplify right side
    106,393.31x = 8,610,974,640.12
  5. Step 5: Solve for x
    x = 8,610,974,640.12/106,393.31
  6. Step 6: Final answer
    x = 80,935.31

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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.