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Finding the Fourth Proportional to 51,561.94, 77,365.81 and 32,837.12

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Solution

The fourth proportional to 51,561.94, 77,365.81 and 32,837.12 is: 49,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,561.94 : 77,365.81 = 32,837.12 : x
  2. Step 2: Convert to fraction form
    51,561.94/77,365.81 = 32,837.12/x
  3. Step 3: Cross multiply
    51,561.94x = 77,365.81 × 32,837.12
  4. Step 4: Simplify right side
    51,561.94x = 2,540,470,456.44
  5. Step 5: Solve for x
    x = 2,540,470,456.44/51,561.94
  6. Step 6: Final answer
    x = 49,270.26

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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.