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Finding the Fourth Proportional to 43,362.16, 65,035.68 and 12,190

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Solution

The fourth proportional to 43,362.16, 65,035.68 and 12,190 is: 18,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,362.16 : 65,035.68 = 12,190 : x
  2. Step 2: Convert to fraction form
    43,362.16/65,035.68 = 12,190/x
  3. Step 3: Cross multiply
    43,362.16x = 65,035.68 × 12,190
  4. Step 4: Simplify right side
    43,362.16x = 792,784,939.20
  5. Step 5: Solve for x
    x = 792,784,939.20/43,362.16
  6. Step 6: Final answer
    x = 18,282.87

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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.