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Finding the Fourth Proportional to 41,005.14, 56,587.98 and 22,857

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Solution

The fourth proportional to 41,005.14, 56,587.98 and 22,857 is: 31,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,005.14 : 56,587.98 = 22,857 : x
  2. Step 2: Convert to fraction form
    41,005.14/56,587.98 = 22,857/x
  3. Step 3: Cross multiply
    41,005.14x = 56,587.98 × 22,857
  4. Step 4: Simplify right side
    41,005.14x = 1,293,431,458.86
  5. Step 5: Solve for x
    x = 1,293,431,458.86/41,005.14
  6. Step 6: Final answer
    x = 31,543.15

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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.