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Finding the Fourth Proportional to 47,233.38, 65,179.71 and 30,466.38

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Solution

The fourth proportional to 47,233.38, 65,179.71 and 30,466.38 is: 42,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,233.38 : 65,179.71 = 30,466.38 : x
  2. Step 2: Convert to fraction form
    47,233.38/65,179.71 = 30,466.38/x
  3. Step 3: Cross multiply
    47,233.38x = 65,179.71 × 30,466.38
  4. Step 4: Simplify right side
    47,233.38x = 1,985,789,813.15
  5. Step 5: Solve for x
    x = 1,985,789,813.15/47,233.38
  6. Step 6: Final answer
    x = 42,042.09

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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.