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Finding the Fourth Proportional to 115,463.94, 173,200.80 and 36,576.42

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Solution

The fourth proportional to 115,463.94, 173,200.80 and 36,576.42 is: 54,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,463.94 : 173,200.80 = 36,576.42 : x
  2. Step 2: Convert to fraction form
    115,463.94/173,200.80 = 36,576.42/x
  3. Step 3: Cross multiply
    115,463.94x = 173,200.80 × 36,576.42
  4. Step 4: Simplify right side
    115,463.94x = 6,335,065,205.14
  5. Step 5: Solve for x
    x = 6,335,065,205.14/115,463.94
  6. Step 6: Final answer
    x = 54,866.18

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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.