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Finding the Fourth Proportional to 91,413.40, 137,055.30 and 35,231.80

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Solution

The fourth proportional to 91,413.40, 137,055.30 and 35,231.80 is: 52,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,413.40 : 137,055.30 = 35,231.80 : x
  2. Step 2: Convert to fraction form
    91,413.40/137,055.30 = 35,231.80/x
  3. Step 3: Cross multiply
    91,413.40x = 137,055.30 × 35,231.80
  4. Step 4: Simplify right side
    91,413.40x = 4,828,704,918.54
  5. Step 5: Solve for x
    x = 4,828,704,918.54/91,413.40
  6. Step 6: Final answer
    x = 52,822.73

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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.