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Finding the Fourth Proportional to 41,078.04, 56,702.22 and 24,311

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Solution

The fourth proportional to 41,078.04, 56,702.22 and 24,311 is: 33,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,078.04 : 56,702.22 = 24,311 : x
  2. Step 2: Convert to fraction form
    41,078.04/56,702.22 = 24,311/x
  3. Step 3: Cross multiply
    41,078.04x = 56,702.22 × 24,311
  4. Step 4: Simplify right side
    41,078.04x = 1,378,487,670.42
  5. Step 5: Solve for x
    x = 1,378,487,670.42/41,078.04
  6. Step 6: Final answer
    x = 33,557.78

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