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Finding the Fourth Proportional to 70,164.72, 105,260.92 and 22,770.98

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Solution

The fourth proportional to 70,164.72, 105,260.92 and 22,770.98 is: 34,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,164.72 : 105,260.92 = 22,770.98 : x
  2. Step 2: Convert to fraction form
    70,164.72/105,260.92 = 22,770.98/x
  3. Step 3: Cross multiply
    70,164.72x = 105,260.92 × 22,770.98
  4. Step 4: Simplify right side
    70,164.72x = 2,396,894,304.10
  5. Step 5: Solve for x
    x = 2,396,894,304.10/70,164.72
  6. Step 6: Final answer
    x = 34,160.96

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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.