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Finding the Fourth Proportional to 41,702.94, 57,550.32 and 22,841.82

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Solution

The fourth proportional to 41,702.94, 57,550.32 and 22,841.82 is: 31,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702.94 : 57,550.32 = 22,841.82 : x
  2. Step 2: Convert to fraction form
    41,702.94/57,550.32 = 22,841.82/x
  3. Step 3: Cross multiply
    41,702.94x = 57,550.32 × 22,841.82
  4. Step 4: Simplify right side
    41,702.94x = 1,314,554,050.38
  5. Step 5: Solve for x
    x = 1,314,554,050.38/41,702.94
  6. Step 6: Final answer
    x = 31,521.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.