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Finding the Fourth Proportional to 49,769.88, 74,638.74 and 16,483.80

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Solution

The fourth proportional to 49,769.88, 74,638.74 and 16,483.80 is: 24,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,769.88 : 74,638.74 = 16,483.80 : x
  2. Step 2: Convert to fraction form
    49,769.88/74,638.74 = 16,483.80/x
  3. Step 3: Cross multiply
    49,769.88x = 74,638.74 × 16,483.80
  4. Step 4: Simplify right side
    49,769.88x = 1,230,330,062.41
  5. Step 5: Solve for x
    x = 1,230,330,062.41/49,769.88
  6. Step 6: Final answer
    x = 24,720.37

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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.