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Finding the Fourth Proportional to 43,364.16, 65,038.68 and 12,192

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Solution

The fourth proportional to 43,364.16, 65,038.68 and 12,192 is: 18,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,364.16 : 65,038.68 = 12,192 : x
  2. Step 2: Convert to fraction form
    43,364.16/65,038.68 = 12,192/x
  3. Step 3: Cross multiply
    43,364.16x = 65,038.68 × 12,192
  4. Step 4: Simplify right side
    43,364.16x = 792,951,586.56
  5. Step 5: Solve for x
    x = 792,951,586.56/43,364.16
  6. Step 6: Final answer
    x = 18,285.87

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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.