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Finding the Fourth Proportional to 30,741.36, 42,394.68 and 22,803.36

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Solution

The fourth proportional to 30,741.36, 42,394.68 and 22,803.36 is: 31,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.36 : 42,394.68 = 22,803.36 : x
  2. Step 2: Convert to fraction form
    30,741.36/42,394.68 = 22,803.36/x
  3. Step 3: Cross multiply
    30,741.36x = 42,394.68 × 22,803.36
  4. Step 4: Simplify right side
    30,741.36x = 966,741,150.12
  5. Step 5: Solve for x
    x = 966,741,150.12/30,741.36
  6. Step 6: Final answer
    x = 31,447.57

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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.