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Finding the Fourth Proportional to 70,425.18, 105,644.70 and 20,505.78

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Solution

The fourth proportional to 70,425.18, 105,644.70 and 20,505.78 is: 30,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,425.18 : 105,644.70 = 20,505.78 : x
  2. Step 2: Convert to fraction form
    70,425.18/105,644.70 = 20,505.78/x
  3. Step 3: Cross multiply
    70,425.18x = 105,644.70 × 20,505.78
  4. Step 4: Simplify right side
    70,425.18x = 2,166,326,976.37
  5. Step 5: Solve for x
    x = 2,166,326,976.37/70,425.18
  6. Step 6: Final answer
    x = 30,760.69

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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.