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Finding the Fourth Proportional to 47,732.38, 65,845.74 and 32,413.54

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Solution

The fourth proportional to 47,732.38, 65,845.74 and 32,413.54 is: 44,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,732.38 : 65,845.74 = 32,413.54 : x
  2. Step 2: Convert to fraction form
    47,732.38/65,845.74 = 32,413.54/x
  3. Step 3: Cross multiply
    47,732.38x = 65,845.74 × 32,413.54
  4. Step 4: Simplify right side
    47,732.38x = 2,134,293,527.32
  5. Step 5: Solve for x
    x = 2,134,293,527.32/47,732.38
  6. Step 6: Final answer
    x = 44,713.75

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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.