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Finding the Fourth Proportional to 82,855.36, 114,343.24 and 47,044.18

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Solution

The fourth proportional to 82,855.36, 114,343.24 and 47,044.18 is: 64,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,855.36 : 114,343.24 = 47,044.18 : x
  2. Step 2: Convert to fraction form
    82,855.36/114,343.24 = 47,044.18/x
  3. Step 3: Cross multiply
    82,855.36x = 114,343.24 × 47,044.18
  4. Step 4: Simplify right side
    82,855.36x = 5,379,183,964.34
  5. Step 5: Solve for x
    x = 5,379,183,964.34/82,855.36
  6. Step 6: Final answer
    x = 64,922.58

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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.