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Finding the Fourth Proportional to 70,615.38, 105,922.96 and 18,024.86

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Solution

The fourth proportional to 70,615.38, 105,922.96 and 18,024.86 is: 27,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,615.38 : 105,922.96 = 18,024.86 : x
  2. Step 2: Convert to fraction form
    70,615.38/105,922.96 = 18,024.86/x
  3. Step 3: Cross multiply
    70,615.38x = 105,922.96 × 18,024.86
  4. Step 4: Simplify right side
    70,615.38x = 1,909,246,524.79
  5. Step 5: Solve for x
    x = 1,909,246,524.79/70,615.38
  6. Step 6: Final answer
    x = 27,037.26

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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.