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Finding the Fourth Proportional to 49,696, 74,498.64 and 45,367.36

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Solution

The fourth proportional to 49,696, 74,498.64 and 45,367.36 is: 68,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,696 : 74,498.64 = 45,367.36 : x
  2. Step 2: Convert to fraction form
    49,696/74,498.64 = 45,367.36/x
  3. Step 3: Cross multiply
    49,696x = 74,498.64 × 45,367.36
  4. Step 4: Simplify right side
    49,696x = 3,379,806,620.39
  5. Step 5: Solve for x
    x = 3,379,806,620.39/49,696
  6. Step 6: Final answer
    x = 68,009.63

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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.