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Finding the Fourth Proportional to 30,755.95, 42,434.37 and 20,016.64

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Solution

The fourth proportional to 30,755.95, 42,434.37 and 20,016.64 is: 27,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,755.95 : 42,434.37 = 20,016.64 : x
  2. Step 2: Convert to fraction form
    30,755.95/42,434.37 = 20,016.64/x
  3. Step 3: Cross multiply
    30,755.95x = 42,434.37 × 20,016.64
  4. Step 4: Simplify right side
    30,755.95x = 849,393,322.27
  5. Step 5: Solve for x
    x = 849,393,322.27/30,755.95
  6. Step 6: Final answer
    x = 27,617.20

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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.