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Finding the Fourth Proportional to 51,492.83, 77,250.86 and 27,799.85

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Solution

The fourth proportional to 51,492.83, 77,250.86 and 27,799.85 is: 41,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,492.83 : 77,250.86 = 27,799.85 : x
  2. Step 2: Convert to fraction form
    51,492.83/77,250.86 = 27,799.85/x
  3. Step 3: Cross multiply
    51,492.83x = 77,250.86 × 27,799.85
  4. Step 4: Simplify right side
    51,492.83x = 2,147,562,583.00
  5. Step 5: Solve for x
    x = 2,147,562,583.00/51,492.83
  6. Step 6: Final answer
    x = 41,706.05

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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.