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Finding the Fourth Proportional to 30,846.64, 42,589.16 and 20,254.24

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Solution

The fourth proportional to 30,846.64, 42,589.16 and 20,254.24 is: 27,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.64 : 42,589.16 = 20,254.24 : x
  2. Step 2: Convert to fraction form
    30,846.64/42,589.16 = 20,254.24/x
  3. Step 3: Cross multiply
    30,846.64x = 42,589.16 × 20,254.24
  4. Step 4: Simplify right side
    30,846.64x = 862,611,068.04
  5. Step 5: Solve for x
    x = 862,611,068.04/30,846.64
  6. Step 6: Final answer
    x = 27,964.51

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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.