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Finding the Fourth Proportional to 43,363.16, 65,037.18 and 12,191

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Solution

The fourth proportional to 43,363.16, 65,037.18 and 12,191 is: 18,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,363.16 : 65,037.18 = 12,191 : x
  2. Step 2: Convert to fraction form
    43,363.16/65,037.18 = 12,191/x
  3. Step 3: Cross multiply
    43,363.16x = 65,037.18 × 12,191
  4. Step 4: Simplify right side
    43,363.16x = 792,868,261.38
  5. Step 5: Solve for x
    x = 792,868,261.38/43,363.16
  6. Step 6: Final answer
    x = 18,284.37

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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.