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Finding the Fourth Proportional to 69,106.91, 103,594.69 and 27,013.98

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Solution

The fourth proportional to 69,106.91, 103,594.69 and 27,013.98 is: 40,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106.91 : 103,594.69 = 27,013.98 : x
  2. Step 2: Convert to fraction form
    69,106.91/103,594.69 = 27,013.98/x
  3. Step 3: Cross multiply
    69,106.91x = 103,594.69 × 27,013.98
  4. Step 4: Simplify right side
    69,106.91x = 2,798,504,748.70
  5. Step 5: Solve for x
    x = 2,798,504,748.70/69,106.91
  6. Step 6: Final answer
    x = 40,495.30

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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.