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Finding the Fourth Proportional to 101,766.54, 152,663.69 and 35,188.78

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Solution

The fourth proportional to 101,766.54, 152,663.69 and 35,188.78 is: 52,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,766.54 : 152,663.69 = 35,188.78 : x
  2. Step 2: Convert to fraction form
    101,766.54/152,663.69 = 35,188.78/x
  3. Step 3: Cross multiply
    101,766.54x = 152,663.69 × 35,188.78
  4. Step 4: Simplify right side
    101,766.54x = 5,372,049,001.40
  5. Step 5: Solve for x
    x = 5,372,049,001.40/101,766.54
  6. Step 6: Final answer
    x = 52,787.97

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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.