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Finding the Fourth Proportional to 70,220.92, 105,309.44 and 23,462.86

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Solution

The fourth proportional to 70,220.92, 105,309.44 and 23,462.86 is: 35,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,220.92 : 105,309.44 = 23,462.86 : x
  2. Step 2: Convert to fraction form
    70,220.92/105,309.44 = 23,462.86/x
  3. Step 3: Cross multiply
    70,220.92x = 105,309.44 × 23,462.86
  4. Step 4: Simplify right side
    70,220.92x = 2,470,860,647.40
  5. Step 5: Solve for x
    x = 2,470,860,647.40/70,220.92
  6. Step 6: Final answer
    x = 35,186.96

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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.