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Finding the Fourth Proportional to 37,413.18, 55,846.04 and 32,984.64

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Solution

The fourth proportional to 37,413.18, 55,846.04 and 32,984.64 is: 49,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,413.18 : 55,846.04 = 32,984.64 : x
  2. Step 2: Convert to fraction form
    37,413.18/55,846.04 = 32,984.64/x
  3. Step 3: Cross multiply
    37,413.18x = 55,846.04 × 32,984.64
  4. Step 4: Simplify right side
    37,413.18x = 1,842,061,359.90
  5. Step 5: Solve for x
    x = 1,842,061,359.90/37,413.18
  6. Step 6: Final answer
    x = 49,235.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.