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Finding the Fourth Proportional to 40,817.20, 56,333.42 and 22,672

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Solution

The fourth proportional to 40,817.20, 56,333.42 and 22,672 is: 31,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,817.20 : 56,333.42 = 22,672 : x
  2. Step 2: Convert to fraction form
    40,817.20/56,333.42 = 22,672/x
  3. Step 3: Cross multiply
    40,817.20x = 56,333.42 × 22,672
  4. Step 4: Simplify right side
    40,817.20x = 1,277,191,298.24
  5. Step 5: Solve for x
    x = 1,277,191,298.24/40,817.20
  6. Step 6: Final answer
    x = 31,290.52

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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.