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Finding the Fourth Proportional to 30,616.36, 42,268.98 and 20,023.72

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Solution

The fourth proportional to 30,616.36, 42,268.98 and 20,023.72 is: 27,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.36 : 42,268.98 = 20,023.72 : x
  2. Step 2: Convert to fraction form
    30,616.36/42,268.98 = 20,023.72/x
  3. Step 3: Cross multiply
    30,616.36x = 42,268.98 × 20,023.72
  4. Step 4: Simplify right side
    30,616.36x = 846,382,220.21
  5. Step 5: Solve for x
    x = 846,382,220.21/30,616.36
  6. Step 6: Final answer
    x = 27,644.77

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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.