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Finding the Fourth Proportional to 27,511, 41,266.50 and 15,199

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Solution

The fourth proportional to 27,511, 41,266.50 and 15,199 is: 22,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511 : 41,266.50 = 15,199 : x
  2. Step 2: Convert to fraction form
    27,511/41,266.50 = 15,199/x
  3. Step 3: Cross multiply
    27,511x = 41,266.50 × 15,199
  4. Step 4: Simplify right side
    27,511x = 627,209,533.50
  5. Step 5: Solve for x
    x = 627,209,533.50/27,511
  6. Step 6: Final answer
    x = 22,798.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.