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Finding the Fourth Proportional to 46,596.47, 69,844.43 and 22,876.43

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Solution

The fourth proportional to 46,596.47, 69,844.43 and 22,876.43 is: 34,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,596.47 : 69,844.43 = 22,876.43 : x
  2. Step 2: Convert to fraction form
    46,596.47/69,844.43 = 22,876.43/x
  3. Step 3: Cross multiply
    46,596.47x = 69,844.43 × 22,876.43
  4. Step 4: Simplify right side
    46,596.47x = 1,597,790,793.07
  5. Step 5: Solve for x
    x = 1,597,790,793.07/46,596.47
  6. Step 6: Final answer
    x = 34,289.96

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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.