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Finding the Fourth Proportional to 51,413.92, 77,120.88 and 26,837.92

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Solution

The fourth proportional to 51,413.92, 77,120.88 and 26,837.92 is: 40,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,413.92 : 77,120.88 = 26,837.92 : x
  2. Step 2: Convert to fraction form
    51,413.92/77,120.88 = 26,837.92/x
  3. Step 3: Cross multiply
    51,413.92x = 77,120.88 × 26,837.92
  4. Step 4: Simplify right side
    51,413.92x = 2,069,764,007.77
  5. Step 5: Solve for x
    x = 2,069,764,007.77/51,413.92
  6. Step 6: Final answer
    x = 40,256.88

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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.