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Finding the Fourth Proportional to 78,433.38, 108,183.34 and 51,567.30

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Solution

The fourth proportional to 78,433.38, 108,183.34 and 51,567.30 is: 71,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,433.38 : 108,183.34 = 51,567.30 : x
  2. Step 2: Convert to fraction form
    78,433.38/108,183.34 = 51,567.30/x
  3. Step 3: Cross multiply
    78,433.38x = 108,183.34 × 51,567.30
  4. Step 4: Simplify right side
    78,433.38x = 5,578,722,748.78
  5. Step 5: Solve for x
    x = 5,578,722,748.78/78,433.38
  6. Step 6: Final answer
    x = 71,126.89

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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.