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Finding the Fourth Proportional to 27,284.45, 37,657.17 and 20,151.42

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Solution

The fourth proportional to 27,284.45, 37,657.17 and 20,151.42 is: 27,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284.45 : 37,657.17 = 20,151.42 : x
  2. Step 2: Convert to fraction form
    27,284.45/37,657.17 = 20,151.42/x
  3. Step 3: Cross multiply
    27,284.45x = 37,657.17 × 20,151.42
  4. Step 4: Simplify right side
    27,284.45x = 758,845,307.47
  5. Step 5: Solve for x
    x = 758,845,307.47/27,284.45
  6. Step 6: Final answer
    x = 27,812.38

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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.