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Finding the Fourth Proportional to 74,174.78, 111,269.01 and 24,255.14

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Solution

The fourth proportional to 74,174.78, 111,269.01 and 24,255.14 is: 36,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,174.78 : 111,269.01 = 24,255.14 : x
  2. Step 2: Convert to fraction form
    74,174.78/111,269.01 = 24,255.14/x
  3. Step 3: Cross multiply
    74,174.78x = 111,269.01 × 24,255.14
  4. Step 4: Simplify right side
    74,174.78x = 2,698,845,415.21
  5. Step 5: Solve for x
    x = 2,698,845,415.21/74,174.78
  6. Step 6: Final answer
    x = 36,384.95

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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.