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Finding the Fourth Proportional to 82,794.28, 114,119.44 and 58,563.96

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Solution

The fourth proportional to 82,794.28, 114,119.44 and 58,563.96 is: 80,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,794.28 : 114,119.44 = 58,563.96 : x
  2. Step 2: Convert to fraction form
    82,794.28/114,119.44 = 58,563.96/x
  3. Step 3: Cross multiply
    82,794.28x = 114,119.44 × 58,563.96
  4. Step 4: Simplify right side
    82,794.28x = 6,683,286,319.38
  5. Step 5: Solve for x
    x = 6,683,286,319.38/82,794.28
  6. Step 6: Final answer
    x = 80,721.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.