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Finding the Fourth Proportional to 94,647.72, 141,930 and 35,441.86

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Solution

The fourth proportional to 94,647.72, 141,930 and 35,441.86 is: 53,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,647.72 : 141,930 = 35,441.86 : x
  2. Step 2: Convert to fraction form
    94,647.72/141,930 = 35,441.86/x
  3. Step 3: Cross multiply
    94,647.72x = 141,930 × 35,441.86
  4. Step 4: Simplify right side
    94,647.72x = 5,030,263,189.80
  5. Step 5: Solve for x
    x = 5,030,263,189.80/94,647.72
  6. Step 6: Final answer
    x = 53,147.22

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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.