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Finding the Fourth Proportional to 98,413.20, 147,619.80 and 27,335.70

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Solution

The fourth proportional to 98,413.20, 147,619.80 and 27,335.70 is: 41,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.20 : 147,619.80 = 27,335.70 : x
  2. Step 2: Convert to fraction form
    98,413.20/147,619.80 = 27,335.70/x
  3. Step 3: Cross multiply
    98,413.20x = 147,619.80 × 27,335.70
  4. Step 4: Simplify right side
    98,413.20x = 4,035,290,566.86
  5. Step 5: Solve for x
    x = 4,035,290,566.86/98,413.20
  6. Step 6: Final answer
    x = 41,003.55

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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.