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Finding the Fourth Proportional to 70,499.80, 105,764.10 and 23,757.40

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Solution

The fourth proportional to 70,499.80, 105,764.10 and 23,757.40 is: 35,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,499.80 : 105,764.10 = 23,757.40 : x
  2. Step 2: Convert to fraction form
    70,499.80/105,764.10 = 23,757.40/x
  3. Step 3: Cross multiply
    70,499.80x = 105,764.10 × 23,757.40
  4. Step 4: Simplify right side
    70,499.80x = 2,512,680,029.34
  5. Step 5: Solve for x
    x = 2,512,680,029.34/70,499.80
  6. Step 6: Final answer
    x = 35,640.95

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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.