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Finding the Fourth Proportional to 50,201.66, 75,278.24 and 29,147.00

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Solution

The fourth proportional to 50,201.66, 75,278.24 and 29,147.00 is: 43,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,201.66 : 75,278.24 = 29,147.00 : x
  2. Step 2: Convert to fraction form
    50,201.66/75,278.24 = 29,147.00/x
  3. Step 3: Cross multiply
    50,201.66x = 75,278.24 × 29,147.00
  4. Step 4: Simplify right side
    50,201.66x = 2,194,134,484.89
  5. Step 5: Solve for x
    x = 2,194,134,484.89/50,201.66
  6. Step 6: Final answer
    x = 43,706.41

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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.