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Finding the Fourth Proportional to 70,794.81, 106,193.03 and 24,051.33

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Solution

The fourth proportional to 70,794.81, 106,193.03 and 24,051.33 is: 36,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,794.81 : 106,193.03 = 24,051.33 : x
  2. Step 2: Convert to fraction form
    70,794.81/106,193.03 = 24,051.33/x
  3. Step 3: Cross multiply
    70,794.81x = 106,193.03 × 24,051.33
  4. Step 4: Simplify right side
    70,794.81x = 2,554,083,487.97
  5. Step 5: Solve for x
    x = 2,554,083,487.97/70,794.81
  6. Step 6: Final answer
    x = 36,077.27

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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.