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Finding the Fourth Proportional to 100,525.14, 150,558.03 and 47,971.53

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Solution

The fourth proportional to 100,525.14, 150,558.03 and 47,971.53 is: 71,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,525.14 : 150,558.03 = 47,971.53 : x
  2. Step 2: Convert to fraction form
    100,525.14/150,558.03 = 47,971.53/x
  3. Step 3: Cross multiply
    100,525.14x = 150,558.03 × 47,971.53
  4. Step 4: Simplify right side
    100,525.14x = 7,222,499,052.89
  5. Step 5: Solve for x
    x = 7,222,499,052.89/100,525.14
  6. Step 6: Final answer
    x = 71,847.69

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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.