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Finding the Fourth Proportional to 69,454.68, 104,072.57 and 53,698.14

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Solution

The fourth proportional to 69,454.68, 104,072.57 and 53,698.14 is: 80,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,454.68 : 104,072.57 = 53,698.14 : x
  2. Step 2: Convert to fraction form
    69,454.68/104,072.57 = 53,698.14/x
  3. Step 3: Cross multiply
    69,454.68x = 104,072.57 × 53,698.14
  4. Step 4: Simplify right side
    69,454.68x = 5,588,503,165.53
  5. Step 5: Solve for x
    x = 5,588,503,165.53/69,454.68
  6. Step 6: Final answer
    x = 80,462.59

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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.