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Finding the Fourth Proportional to 70,635.89, 105,829.28 and 37,282.47

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Solution

The fourth proportional to 70,635.89, 105,829.28 and 37,282.47 is: 55,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,635.89 : 105,829.28 = 37,282.47 : x
  2. Step 2: Convert to fraction form
    70,635.89/105,829.28 = 37,282.47/x
  3. Step 3: Cross multiply
    70,635.89x = 105,829.28 × 37,282.47
  4. Step 4: Simplify right side
    70,635.89x = 3,945,576,770.31
  5. Step 5: Solve for x
    x = 3,945,576,770.31/70,635.89
  6. Step 6: Final answer
    x = 55,857.96

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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.