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Finding the Fourth Proportional to 106,486.38, 146,952.63 and 58,739.58

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Solution

The fourth proportional to 106,486.38, 146,952.63 and 58,739.58 is: 81,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,486.38 : 146,952.63 = 58,739.58 : x
  2. Step 2: Convert to fraction form
    106,486.38/146,952.63 = 58,739.58/x
  3. Step 3: Cross multiply
    106,486.38x = 146,952.63 × 58,739.58
  4. Step 4: Simplify right side
    106,486.38x = 8,631,935,766.10
  5. Step 5: Solve for x
    x = 8,631,935,766.10/106,486.38
  6. Step 6: Final answer
    x = 81,061.41

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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.