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Finding the Fourth Proportional to 35,464.40, 48,932.04 and 22,874

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Solution

The fourth proportional to 35,464.40, 48,932.04 and 22,874 is: 31,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464.40 : 48,932.04 = 22,874 : x
  2. Step 2: Convert to fraction form
    35,464.40/48,932.04 = 22,874/x
  3. Step 3: Cross multiply
    35,464.40x = 48,932.04 × 22,874
  4. Step 4: Simplify right side
    35,464.40x = 1,119,271,482.96
  5. Step 5: Solve for x
    x = 1,119,271,482.96/35,464.40
  6. Step 6: Final answer
    x = 31,560.42

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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.