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Finding the Fourth Proportional to 49,671.44, 74,556.12 and 36,486.80

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Solution

The fourth proportional to 49,671.44, 74,556.12 and 36,486.80 is: 54,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,671.44 : 74,556.12 = 36,486.80 : x
  2. Step 2: Convert to fraction form
    49,671.44/74,556.12 = 36,486.80/x
  3. Step 3: Cross multiply
    49,671.44x = 74,556.12 × 36,486.80
  4. Step 4: Simplify right side
    49,671.44x = 2,720,314,239.22
  5. Step 5: Solve for x
    x = 2,720,314,239.22/49,671.44
  6. Step 6: Final answer
    x = 54,766.16

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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.