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Finding the Fourth Proportional to 82,920.27, 114,433.05 and 47,116.32

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Solution

The fourth proportional to 82,920.27, 114,433.05 and 47,116.32 is: 65,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,920.27 : 114,433.05 = 47,116.32 : x
  2. Step 2: Convert to fraction form
    82,920.27/114,433.05 = 47,116.32/x
  3. Step 3: Cross multiply
    82,920.27x = 114,433.05 × 47,116.32
  4. Step 4: Simplify right side
    82,920.27x = 5,391,664,202.38
  5. Step 5: Solve for x
    x = 5,391,664,202.38/82,920.27
  6. Step 6: Final answer
    x = 65,022.27

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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.