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Finding the Fourth Proportional to 68,311.74, 102,513.66 and 23,938.90

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Solution

The fourth proportional to 68,311.74, 102,513.66 and 23,938.90 is: 35,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,311.74 : 102,513.66 = 23,938.90 : x
  2. Step 2: Convert to fraction form
    68,311.74/102,513.66 = 23,938.90/x
  3. Step 3: Cross multiply
    68,311.74x = 102,513.66 × 23,938.90
  4. Step 4: Simplify right side
    68,311.74x = 2,454,064,255.37
  5. Step 5: Solve for x
    x = 2,454,064,255.37/68,311.74
  6. Step 6: Final answer
    x = 35,924.49

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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.