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Finding the Fourth Proportional to 61,074.76, 92,028.16 and 50,224.48

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Solution

The fourth proportional to 61,074.76, 92,028.16 and 50,224.48 is: 75,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,074.76 : 92,028.16 = 50,224.48 : x
  2. Step 2: Convert to fraction form
    61,074.76/92,028.16 = 50,224.48/x
  3. Step 3: Cross multiply
    61,074.76x = 92,028.16 × 50,224.48
  4. Step 4: Simplify right side
    61,074.76x = 4,622,066,481.36
  5. Step 5: Solve for x
    x = 4,622,066,481.36/61,074.76
  6. Step 6: Final answer
    x = 75,678.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.