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Finding the Fourth Proportional to 82,575.44, 114,001.32 and 54,363.14

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Solution

The fourth proportional to 82,575.44, 114,001.32 and 54,363.14 is: 75,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,575.44 : 114,001.32 = 54,363.14 : x
  2. Step 2: Convert to fraction form
    82,575.44/114,001.32 = 54,363.14/x
  3. Step 3: Cross multiply
    82,575.44x = 114,001.32 × 54,363.14
  4. Step 4: Simplify right side
    82,575.44x = 6,197,469,719.34
  5. Step 5: Solve for x
    x = 6,197,469,719.34/82,575.44
  6. Step 6: Final answer
    x = 75,052.22

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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.