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Finding the Fourth Proportional to 106,583.38, 147,086.25 and 58,836.76

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Solution

The fourth proportional to 106,583.38, 147,086.25 and 58,836.76 is: 81,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,583.38 : 147,086.25 = 58,836.76 : x
  2. Step 2: Convert to fraction form
    106,583.38/147,086.25 = 58,836.76/x
  3. Step 3: Cross multiply
    106,583.38x = 147,086.25 × 58,836.76
  4. Step 4: Simplify right side
    106,583.38x = 8,654,078,390.55
  5. Step 5: Solve for x
    x = 8,654,078,390.55/106,583.38
  6. Step 6: Final answer
    x = 81,195.38

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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.