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Finding the Fourth Proportional to 27,822.95, 41,734.50 and 8,101.99

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Solution

The fourth proportional to 27,822.95, 41,734.50 and 8,101.99 is: 12,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.95 : 41,734.50 = 8,101.99 : x
  2. Step 2: Convert to fraction form
    27,822.95/41,734.50 = 8,101.99/x
  3. Step 3: Cross multiply
    27,822.95x = 41,734.50 × 8,101.99
  4. Step 4: Simplify right side
    27,822.95x = 338,132,501.66
  5. Step 5: Solve for x
    x = 338,132,501.66/27,822.95
  6. Step 6: Final answer
    x = 12,153.01

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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.