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Finding the Fourth Proportional to 82,867.14, 114,356.04 and 45,141.42

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Solution

The fourth proportional to 82,867.14, 114,356.04 and 45,141.42 is: 62,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,867.14 : 114,356.04 = 45,141.42 : x
  2. Step 2: Convert to fraction form
    82,867.14/114,356.04 = 45,141.42/x
  3. Step 3: Cross multiply
    82,867.14x = 114,356.04 × 45,141.42
  4. Step 4: Simplify right side
    82,867.14x = 5,162,194,031.18
  5. Step 5: Solve for x
    x = 5,162,194,031.18/82,867.14
  6. Step 6: Final answer
    x = 62,294.83

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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.