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Finding the Fourth Proportional to 98,106.95, 135,413.48 and 57,847.53

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Solution

The fourth proportional to 98,106.95, 135,413.48 and 57,847.53 is: 79,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,106.95 : 135,413.48 = 57,847.53 : x
  2. Step 2: Convert to fraction form
    98,106.95/135,413.48 = 57,847.53/x
  3. Step 3: Cross multiply
    98,106.95x = 135,413.48 × 57,847.53
  4. Step 4: Simplify right side
    98,106.95x = 7,833,335,057.47
  5. Step 5: Solve for x
    x = 7,833,335,057.47/98,106.95
  6. Step 6: Final answer
    x = 79,844.86

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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.