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Finding the Fourth Proportional to 105,364.38, 158,028.93 and 35,243.46

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Solution

The fourth proportional to 105,364.38, 158,028.93 and 35,243.46 is: 52,859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,364.38 : 158,028.93 = 35,243.46 : x
  2. Step 2: Convert to fraction form
    105,364.38/158,028.93 = 35,243.46/x
  3. Step 3: Cross multiply
    105,364.38x = 158,028.93 × 35,243.46
  4. Step 4: Simplify right side
    105,364.38x = 5,569,486,273.30
  5. Step 5: Solve for x
    x = 5,569,486,273.30/105,364.38
  6. Step 6: Final answer
    x = 52,859.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.