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Finding the Fourth Proportional to 100,413.56, 150,620.38 and 38,084.06

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Solution

The fourth proportional to 100,413.56, 150,620.38 and 38,084.06 is: 57,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,413.56 : 150,620.38 = 38,084.06 : x
  2. Step 2: Convert to fraction form
    100,413.56/150,620.38 = 38,084.06/x
  3. Step 3: Cross multiply
    100,413.56x = 150,620.38 × 38,084.06
  4. Step 4: Simplify right side
    100,413.56x = 5,736,235,870.48
  5. Step 5: Solve for x
    x = 5,736,235,870.48/100,413.56
  6. Step 6: Final answer
    x = 57,126.11

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1.5x scale

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.