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Finding the Fourth Proportional to 38,016, 52,485.12 and 24,791.04

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Solution

The fourth proportional to 38,016, 52,485.12 and 24,791.04 is: 34,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 52,485.12 = 24,791.04 : x
  2. Step 2: Convert to fraction form
    38,016/52,485.12 = 24,791.04/x
  3. Step 3: Cross multiply
    38,016x = 52,485.12 × 24,791.04
  4. Step 4: Simplify right side
    38,016x = 1,301,160,709.32
  5. Step 5: Solve for x
    x = 1,301,160,709.32/38,016
  6. Step 6: Final answer
    x = 34,226.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.