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Finding the Fourth Proportional to 69,098.52, 103,668.84 and 35,842.38

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Solution

The fourth proportional to 69,098.52, 103,668.84 and 35,842.38 is: 53,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,098.52 : 103,668.84 = 35,842.38 : x
  2. Step 2: Convert to fraction form
    69,098.52/103,668.84 = 35,842.38/x
  3. Step 3: Cross multiply
    69,098.52x = 103,668.84 × 35,842.38
  4. Step 4: Simplify right side
    69,098.52x = 3,715,737,957.44
  5. Step 5: Solve for x
    x = 3,715,737,957.44/69,098.52
  6. Step 6: Final answer
    x = 53,774.49

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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.