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Finding the Fourth Proportional to 27,602, 38,116.68 and 19,241.68

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Solution

The fourth proportional to 27,602, 38,116.68 and 19,241.68 is: 26,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602 : 38,116.68 = 19,241.68 : x
  2. Step 2: Convert to fraction form
    27,602/38,116.68 = 19,241.68/x
  3. Step 3: Cross multiply
    27,602x = 38,116.68 × 19,241.68
  4. Step 4: Simplify right side
    27,602x = 733,428,959.22
  5. Step 5: Solve for x
    x = 733,428,959.22/27,602
  6. Step 6: Final answer
    x = 26,571.59

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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.