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Finding the Fourth Proportional to 43,364.61, 65,046.92 and 12,199.86

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Solution

The fourth proportional to 43,364.61, 65,046.92 and 12,199.86 is: 18,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,364.61 : 65,046.92 = 12,199.86 : x
  2. Step 2: Convert to fraction form
    43,364.61/65,046.92 = 12,199.86/x
  3. Step 3: Cross multiply
    43,364.61x = 65,046.92 × 12,199.86
  4. Step 4: Simplify right side
    43,364.61x = 793,563,256.43
  5. Step 5: Solve for x
    x = 793,563,256.43/43,364.61
  6. Step 6: Final answer
    x = 18,299.79

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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.