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Finding the Fourth Proportional to 76,608.29, 114,912.44 and 24,022.01

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Solution

The fourth proportional to 76,608.29, 114,912.44 and 24,022.01 is: 36,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,608.29 : 114,912.44 = 24,022.01 : x
  2. Step 2: Convert to fraction form
    76,608.29/114,912.44 = 24,022.01/x
  3. Step 3: Cross multiply
    76,608.29x = 114,912.44 × 24,022.01
  4. Step 4: Simplify right side
    76,608.29x = 2,760,428,130.14
  5. Step 5: Solve for x
    x = 2,760,428,130.14/76,608.29
  6. Step 6: Final answer
    x = 36,033.02

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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.