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Finding the Fourth Proportional to 38,511.42, 53,143.86 and 21,512.28

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Solution

The fourth proportional to 38,511.42, 53,143.86 and 21,512.28 is: 29,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511.42 : 53,143.86 = 21,512.28 : x
  2. Step 2: Convert to fraction form
    38,511.42/53,143.86 = 21,512.28/x
  3. Step 3: Cross multiply
    38,511.42x = 53,143.86 × 21,512.28
  4. Step 4: Simplify right side
    38,511.42x = 1,143,245,596.60
  5. Step 5: Solve for x
    x = 1,143,245,596.60/38,511.42
  6. Step 6: Final answer
    x = 29,685.89

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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.