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Finding the Fourth Proportional to 50,767, 76,177.14 and 20,803.48

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Solution

The fourth proportional to 50,767, 76,177.14 and 20,803.48 is: 31,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,767 : 76,177.14 = 20,803.48 : x
  2. Step 2: Convert to fraction form
    50,767/76,177.14 = 20,803.48/x
  3. Step 3: Cross multiply
    50,767x = 76,177.14 × 20,803.48
  4. Step 4: Simplify right side
    50,767x = 1,584,749,608.45
  5. Step 5: Solve for x
    x = 1,584,749,608.45/50,767
  6. Step 6: Final answer
    x = 31,216.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.