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Finding the Fourth Proportional to 51,297.47, 76,973.29 and 36,400.84

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Solution

The fourth proportional to 51,297.47, 76,973.29 and 36,400.84 is: 54,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,297.47 : 76,973.29 = 36,400.84 : x
  2. Step 2: Convert to fraction form
    51,297.47/76,973.29 = 36,400.84/x
  3. Step 3: Cross multiply
    51,297.47x = 76,973.29 × 36,400.84
  4. Step 4: Simplify right side
    51,297.47x = 2,801,892,413.56
  5. Step 5: Solve for x
    x = 2,801,892,413.56/51,297.47
  6. Step 6: Final answer
    x = 54,620.48

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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.