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Finding the Fourth Proportional to 70,583.58, 105,781.92 and 51,775.56

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Solution

The fourth proportional to 70,583.58, 105,781.92 and 51,775.56 is: 77,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,583.58 : 105,781.92 = 51,775.56 : x
  2. Step 2: Convert to fraction form
    70,583.58/105,781.92 = 51,775.56/x
  3. Step 3: Cross multiply
    70,583.58x = 105,781.92 × 51,775.56
  4. Step 4: Simplify right side
    70,583.58x = 5,476,918,145.88
  5. Step 5: Solve for x
    x = 5,476,918,145.88/70,583.58
  6. Step 6: Final answer
    x = 77,594.79

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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.