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Finding the Fourth Proportional to 68,174.69, 102,266.67 and 23,177.72

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Solution

The fourth proportional to 68,174.69, 102,266.67 and 23,177.72 is: 34,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,174.69 : 102,266.67 = 23,177.72 : x
  2. Step 2: Convert to fraction form
    68,174.69/102,266.67 = 23,177.72/x
  3. Step 3: Cross multiply
    68,174.69x = 102,266.67 × 23,177.72
  4. Step 4: Simplify right side
    68,174.69x = 2,370,308,242.59
  5. Step 5: Solve for x
    x = 2,370,308,242.59/68,174.69
  6. Step 6: Final answer
    x = 34,768.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.