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Finding the Fourth Proportional to 70,339.72, 105,518.25 and 22,942.14

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Solution

The fourth proportional to 70,339.72, 105,518.25 and 22,942.14 is: 34,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,339.72 : 105,518.25 = 22,942.14 : x
  2. Step 2: Convert to fraction form
    70,339.72/105,518.25 = 22,942.14/x
  3. Step 3: Cross multiply
    70,339.72x = 105,518.25 × 22,942.14
  4. Step 4: Simplify right side
    70,339.72x = 2,420,814,464.06
  5. Step 5: Solve for x
    x = 2,420,814,464.06/70,339.72
  6. Step 6: Final answer
    x = 34,416.04

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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.