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Finding the Fourth Proportional to 82,778, 114,234.05 and 45,052.25

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Solution

The fourth proportional to 82,778, 114,234.05 and 45,052.25 is: 62,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,778 : 114,234.05 = 45,052.25 : x
  2. Step 2: Convert to fraction form
    82,778/114,234.05 = 45,052.25/x
  3. Step 3: Cross multiply
    82,778x = 114,234.05 × 45,052.25
  4. Step 4: Simplify right side
    82,778x = 5,146,500,753.85
  5. Step 5: Solve for x
    x = 5,146,500,753.85/82,778
  6. Step 6: Final answer
    x = 62,172.33

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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.