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Finding the Fourth Proportional to 40,742.34, 56,224.23 and 22,837.34

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Solution

The fourth proportional to 40,742.34, 56,224.23 and 22,837.34 is: 31,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,742.34 : 56,224.23 = 22,837.34 : x
  2. Step 2: Convert to fraction form
    40,742.34/56,224.23 = 22,837.34/x
  3. Step 3: Cross multiply
    40,742.34x = 56,224.23 × 22,837.34
  4. Step 4: Simplify right side
    40,742.34x = 1,284,011,856.75
  5. Step 5: Solve for x
    x = 1,284,011,856.75/40,742.34
  6. Step 6: Final answer
    x = 31,515.42

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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.