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Finding the Fourth Proportional to 98,112.52, 135,413.94 and 55,675

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Solution

The fourth proportional to 98,112.52, 135,413.94 and 55,675 is: 76,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,112.52 : 135,413.94 = 55,675 : x
  2. Step 2: Convert to fraction form
    98,112.52/135,413.94 = 55,675/x
  3. Step 3: Cross multiply
    98,112.52x = 135,413.94 × 55,675
  4. Step 4: Simplify right side
    98,112.52x = 7,539,171,109.50
  5. Step 5: Solve for x
    x = 7,539,171,109.50/98,112.52
  6. Step 6: Final answer
    x = 76,842.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.