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Finding the Fourth Proportional to 43,842.90, 65,793.48 and 16,140.90

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Solution

The fourth proportional to 43,842.90, 65,793.48 and 16,140.90 is: 24,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,842.90 : 65,793.48 = 16,140.90 : x
  2. Step 2: Convert to fraction form
    43,842.90/65,793.48 = 16,140.90/x
  3. Step 3: Cross multiply
    43,842.90x = 65,793.48 × 16,140.90
  4. Step 4: Simplify right side
    43,842.90x = 1,061,965,981.33
  5. Step 5: Solve for x
    x = 1,061,965,981.33/43,842.90
  6. Step 6: Final answer
    x = 24,222.07

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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.