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Finding the Fourth Proportional to 39,816, 54,946.08 and 23,049

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Solution

The fourth proportional to 39,816, 54,946.08 and 23,049 is: 31,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,816 : 54,946.08 = 23,049 : x
  2. Step 2: Convert to fraction form
    39,816/54,946.08 = 23,049/x
  3. Step 3: Cross multiply
    39,816x = 54,946.08 × 23,049
  4. Step 4: Simplify right side
    39,816x = 1,266,452,197.92
  5. Step 5: Solve for x
    x = 1,266,452,197.92/39,816
  6. Step 6: Final answer
    x = 31,807.62

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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.