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Finding the Fourth Proportional to 70,570.33, 105,821.46 and 40,996.62

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Solution

The fourth proportional to 70,570.33, 105,821.46 and 40,996.62 is: 61,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,570.33 : 105,821.46 = 40,996.62 : x
  2. Step 2: Convert to fraction form
    70,570.33/105,821.46 = 40,996.62/x
  3. Step 3: Cross multiply
    70,570.33x = 105,821.46 × 40,996.62
  4. Step 4: Simplify right side
    70,570.33x = 4,338,322,183.47
  5. Step 5: Solve for x
    x = 4,338,322,183.47/70,570.33
  6. Step 6: Final answer
    x = 61,475.16

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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.