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Finding the Fourth Proportional to 68,090.77, 102,138.88 and 23,722.01

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Solution

The fourth proportional to 68,090.77, 102,138.88 and 23,722.01 is: 35,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,090.77 : 102,138.88 = 23,722.01 : x
  2. Step 2: Convert to fraction form
    68,090.77/102,138.88 = 23,722.01/x
  3. Step 3: Cross multiply
    68,090.77x = 102,138.88 × 23,722.01
  4. Step 4: Simplify right side
    68,090.77x = 2,422,939,532.75
  5. Step 5: Solve for x
    x = 2,422,939,532.75/68,090.77
  6. Step 6: Final answer
    x = 35,583.96

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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.