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Finding the Fourth Proportional to 38,732.36, 53,449.62 and 21,965

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Solution

The fourth proportional to 38,732.36, 53,449.62 and 21,965 is: 30,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,732.36 : 53,449.62 = 21,965 : x
  2. Step 2: Convert to fraction form
    38,732.36/53,449.62 = 21,965/x
  3. Step 3: Cross multiply
    38,732.36x = 53,449.62 × 21,965
  4. Step 4: Simplify right side
    38,732.36x = 1,174,020,903.30
  5. Step 5: Solve for x
    x = 1,174,020,903.30/38,732.36
  6. Step 6: Final answer
    x = 30,311.11

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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.