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Finding the Fourth Proportional to 40,793.36, 56,294.46 and 22,888

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Solution

The fourth proportional to 40,793.36, 56,294.46 and 22,888 is: 31,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,793.36 : 56,294.46 = 22,888 : x
  2. Step 2: Convert to fraction form
    40,793.36/56,294.46 = 22,888/x
  3. Step 3: Cross multiply
    40,793.36x = 56,294.46 × 22,888
  4. Step 4: Simplify right side
    40,793.36x = 1,288,467,600.48
  5. Step 5: Solve for x
    x = 1,288,467,600.48/40,793.36
  6. Step 6: Final answer
    x = 31,585.23

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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.