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Finding the Fourth Proportional to 82,851.67, 114,298.94 and 55,984.39

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Solution

The fourth proportional to 82,851.67, 114,298.94 and 55,984.39 is: 77,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,851.67 : 114,298.94 = 55,984.39 : x
  2. Step 2: Convert to fraction form
    82,851.67/114,298.94 = 55,984.39/x
  3. Step 3: Cross multiply
    82,851.67x = 114,298.94 × 55,984.39
  4. Step 4: Simplify right side
    82,851.67x = 6,398,956,153.62
  5. Step 5: Solve for x
    x = 6,398,956,153.62/82,851.67
  6. Step 6: Final answer
    x = 77,233.88

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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.