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Finding the Fourth Proportional to 50,802.78, 76,227.81 and 22,741.82

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Solution

The fourth proportional to 50,802.78, 76,227.81 and 22,741.82 is: 34,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,802.78 : 76,227.81 = 22,741.82 : x
  2. Step 2: Convert to fraction form
    50,802.78/76,227.81 = 22,741.82/x
  3. Step 3: Cross multiply
    50,802.78x = 76,227.81 × 22,741.82
  4. Step 4: Simplify right side
    50,802.78x = 1,733,559,019.51
  5. Step 5: Solve for x
    x = 1,733,559,019.51/50,802.78
  6. Step 6: Final answer
    x = 34,123.31

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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.