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Finding the Fourth Proportional to 49,838.40, 74,698.40 and 26,452.80

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Solution

The fourth proportional to 49,838.40, 74,698.40 and 26,452.80 is: 39,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,838.40 : 74,698.40 = 26,452.80 : x
  2. Step 2: Convert to fraction form
    49,838.40/74,698.40 = 26,452.80/x
  3. Step 3: Cross multiply
    49,838.40x = 74,698.40 × 26,452.80
  4. Step 4: Simplify right side
    49,838.40x = 1,975,981,835.52
  5. Step 5: Solve for x
    x = 1,975,981,835.52/49,838.40
  6. Step 6: Final answer
    x = 39,647.78

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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.