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Finding the Fourth Proportional to 82,546.66, 123,819.99 and 35,798.50

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Solution

The fourth proportional to 82,546.66, 123,819.99 and 35,798.50 is: 53,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,546.66 : 123,819.99 = 35,798.50 : x
  2. Step 2: Convert to fraction form
    82,546.66/123,819.99 = 35,798.50/x
  3. Step 3: Cross multiply
    82,546.66x = 123,819.99 × 35,798.50
  4. Step 4: Simplify right side
    82,546.66x = 4,432,569,912.02
  5. Step 5: Solve for x
    x = 4,432,569,912.02/82,546.66
  6. Step 6: Final answer
    x = 53,697.75

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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.