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Finding the Fourth Proportional to 101,958.30, 152,933.40 and 35,413.56

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Solution

The fourth proportional to 101,958.30, 152,933.40 and 35,413.56 is: 53,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,958.30 : 152,933.40 = 35,413.56 : x
  2. Step 2: Convert to fraction form
    101,958.30/152,933.40 = 35,413.56/x
  3. Step 3: Cross multiply
    101,958.30x = 152,933.40 × 35,413.56
  4. Step 4: Simplify right side
    101,958.30x = 5,415,916,136.90
  5. Step 5: Solve for x
    x = 5,415,916,136.90/101,958.30
  6. Step 6: Final answer
    x = 53,118.93

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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.