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Finding the Fourth Proportional to 27,855.90, 41,820.93 and 16,177.50

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Solution

The fourth proportional to 27,855.90, 41,820.93 and 16,177.50 is: 24,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.90 : 41,820.93 = 16,177.50 : x
  2. Step 2: Convert to fraction form
    27,855.90/41,820.93 = 16,177.50/x
  3. Step 3: Cross multiply
    27,855.90x = 41,820.93 × 16,177.50
  4. Step 4: Simplify right side
    27,855.90x = 676,558,095.08
  5. Step 5: Solve for x
    x = 676,558,095.08/27,855.90
  6. Step 6: Final answer
    x = 24,287.78

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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.