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Finding the Fourth Proportional to 82,778.70, 114,234.03 and 45,052.86

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Solution

The fourth proportional to 82,778.70, 114,234.03 and 45,052.86 is: 62,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,778.70 : 114,234.03 = 45,052.86 : x
  2. Step 2: Convert to fraction form
    82,778.70/114,234.03 = 45,052.86/x
  3. Step 3: Cross multiply
    82,778.70x = 114,234.03 × 45,052.86
  4. Step 4: Simplify right side
    82,778.70x = 5,146,569,760.83
  5. Step 5: Solve for x
    x = 5,146,569,760.83/82,778.70
  6. Step 6: Final answer
    x = 62,172.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.