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Finding the Fourth Proportional to 57,777.78, 86,416.44 and 34,028.70

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Solution

The fourth proportional to 57,777.78, 86,416.44 and 34,028.70 is: 50,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,777.78 : 86,416.44 = 34,028.70 : x
  2. Step 2: Convert to fraction form
    57,777.78/86,416.44 = 34,028.70/x
  3. Step 3: Cross multiply
    57,777.78x = 86,416.44 × 34,028.70
  4. Step 4: Simplify right side
    57,777.78x = 2,940,639,111.83
  5. Step 5: Solve for x
    x = 2,940,639,111.83/57,777.78
  6. Step 6: Final answer
    x = 50,895.67

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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.