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Finding the Fourth Proportional to 49,838.26, 74,674.14 and 35,020.66

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Solution

The fourth proportional to 49,838.26, 74,674.14 and 35,020.66 is: 52,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,838.26 : 74,674.14 = 35,020.66 : x
  2. Step 2: Convert to fraction form
    49,838.26/74,674.14 = 35,020.66/x
  3. Step 3: Cross multiply
    49,838.26x = 74,674.14 × 35,020.66
  4. Step 4: Simplify right side
    49,838.26x = 2,615,137,667.73
  5. Step 5: Solve for x
    x = 2,615,137,667.73/49,838.26
  6. Step 6: Final answer
    x = 52,472.49

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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.