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Finding the Fourth Proportional to 106,394.47, 146,824.33 and 58,648.61

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Solution

The fourth proportional to 106,394.47, 146,824.33 and 58,648.61 is: 80,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,394.47 : 146,824.33 = 58,648.61 : x
  2. Step 2: Convert to fraction form
    106,394.47/146,824.33 = 58,648.61/x
  3. Step 3: Cross multiply
    106,394.47x = 146,824.33 × 58,648.61
  4. Step 4: Simplify right side
    106,394.47x = 8,611,043,089.12
  5. Step 5: Solve for x
    x = 8,611,043,089.12/106,394.47
  6. Step 6: Final answer
    x = 80,935.06

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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.