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Finding the Fourth Proportional to 27,578.70, 38,065.38 and 15,649.02

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Solution

The fourth proportional to 27,578.70, 38,065.38 and 15,649.02 is: 21,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.70 : 38,065.38 = 15,649.02 : x
  2. Step 2: Convert to fraction form
    27,578.70/38,065.38 = 15,649.02/x
  3. Step 3: Cross multiply
    27,578.70x = 38,065.38 × 15,649.02
  4. Step 4: Simplify right side
    27,578.70x = 595,685,892.93
  5. Step 5: Solve for x
    x = 595,685,892.93/27,578.70
  6. Step 6: Final answer
    x = 21,599.49

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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.