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Finding the Fourth Proportional to 70,636.26, 105,954.21 and 23,921.94

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Solution

The fourth proportional to 70,636.26, 105,954.21 and 23,921.94 is: 35,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,636.26 : 105,954.21 = 23,921.94 : x
  2. Step 2: Convert to fraction form
    70,636.26/105,954.21 = 23,921.94/x
  3. Step 3: Cross multiply
    70,636.26x = 105,954.21 × 23,921.94
  4. Step 4: Simplify right side
    70,636.26x = 2,534,630,254.37
  5. Step 5: Solve for x
    x = 2,534,630,254.37/70,636.26
  6. Step 6: Final answer
    x = 35,882.85

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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.