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Finding the Fourth Proportional to 76,033.16, 114,049.80 and 20,629.16

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Solution

The fourth proportional to 76,033.16, 114,049.80 and 20,629.16 is: 30,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,033.16 : 114,049.80 = 20,629.16 : x
  2. Step 2: Convert to fraction form
    76,033.16/114,049.80 = 20,629.16/x
  3. Step 3: Cross multiply
    76,033.16x = 114,049.80 × 20,629.16
  4. Step 4: Simplify right side
    76,033.16x = 2,352,751,572.17
  5. Step 5: Solve for x
    x = 2,352,751,572.17/76,033.16
  6. Step 6: Final answer
    x = 30,943.76

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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.