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Finding the Fourth Proportional to 101,969.46, 152,954.19 and 39,654.54

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Solution

The fourth proportional to 101,969.46, 152,954.19 and 39,654.54 is: 59,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969.46 : 152,954.19 = 39,654.54 : x
  2. Step 2: Convert to fraction form
    101,969.46/152,954.19 = 39,654.54/x
  3. Step 3: Cross multiply
    101,969.46x = 152,954.19 × 39,654.54
  4. Step 4: Simplify right side
    101,969.46x = 6,065,328,045.52
  5. Step 5: Solve for x
    x = 6,065,328,045.52/101,969.46
  6. Step 6: Final answer
    x = 59,481.81

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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.