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Finding the Fourth Proportional to 49,354.89, 74,024.60 and 16,074.68

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Solution

The fourth proportional to 49,354.89, 74,024.60 and 16,074.68 is: 24,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,354.89 : 74,024.60 = 16,074.68 : x
  2. Step 2: Convert to fraction form
    49,354.89/74,024.60 = 16,074.68/x
  3. Step 3: Cross multiply
    49,354.89x = 74,024.60 × 16,074.68
  4. Step 4: Simplify right side
    49,354.89x = 1,189,921,537.43
  5. Step 5: Solve for x
    x = 1,189,921,537.43/49,354.89
  6. Step 6: Final answer
    x = 24,109.49

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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.