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Finding the Fourth Proportional to 39,203, 54,100.14 and 21,539

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Solution

The fourth proportional to 39,203, 54,100.14 and 21,539 is: 29,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,203 : 54,100.14 = 21,539 : x
  2. Step 2: Convert to fraction form
    39,203/54,100.14 = 21,539/x
  3. Step 3: Cross multiply
    39,203x = 54,100.14 × 21,539
  4. Step 4: Simplify right side
    39,203x = 1,165,262,915.46
  5. Step 5: Solve for x
    x = 1,165,262,915.46/39,203
  6. Step 6: Final answer
    x = 29,723.82

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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.