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Finding the Fourth Proportional to 27,578.34, 38,037.25 and 19,094.66

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Solution

The fourth proportional to 27,578.34, 38,037.25 and 19,094.66 is: 26,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.34 : 38,037.25 = 19,094.66 : x
  2. Step 2: Convert to fraction form
    27,578.34/38,037.25 = 19,094.66/x
  3. Step 3: Cross multiply
    27,578.34x = 38,037.25 × 19,094.66
  4. Step 4: Simplify right side
    27,578.34x = 726,308,070.43
  5. Step 5: Solve for x
    x = 726,308,070.43/27,578.34
  6. Step 6: Final answer
    x = 26,336.18

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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.