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Finding the Fourth Proportional to 36,322.84, 50,126.10 and 20,407.24

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Solution

The fourth proportional to 36,322.84, 50,126.10 and 20,407.24 is: 28,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,322.84 : 50,126.10 = 20,407.24 : x
  2. Step 2: Convert to fraction form
    36,322.84/50,126.10 = 20,407.24/x
  3. Step 3: Cross multiply
    36,322.84x = 50,126.10 × 20,407.24
  4. Step 4: Simplify right side
    36,322.84x = 1,022,935,352.96
  5. Step 5: Solve for x
    x = 1,022,935,352.96/36,322.84
  6. Step 6: Final answer
    x = 28,162.32

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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.