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Finding the Fourth Proportional to 69,184.98, 103,819.47 and 27,628.50

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Solution

The fourth proportional to 69,184.98, 103,819.47 and 27,628.50 is: 41,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,184.98 : 103,819.47 = 27,628.50 : x
  2. Step 2: Convert to fraction form
    69,184.98/103,819.47 = 27,628.50/x
  3. Step 3: Cross multiply
    69,184.98x = 103,819.47 × 27,628.50
  4. Step 4: Simplify right side
    69,184.98x = 2,868,376,226.90
  5. Step 5: Solve for x
    x = 2,868,376,226.90/69,184.98
  6. Step 6: Final answer
    x = 41,459.52

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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.