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Finding the Fourth Proportional to 43,787.84, 65,673.84 and 14,201.60

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Solution

The fourth proportional to 43,787.84, 65,673.84 and 14,201.60 is: 21,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,787.84 : 65,673.84 = 14,201.60 : x
  2. Step 2: Convert to fraction form
    43,787.84/65,673.84 = 14,201.60/x
  3. Step 3: Cross multiply
    43,787.84x = 65,673.84 × 14,201.60
  4. Step 4: Simplify right side
    43,787.84x = 932,673,606.14
  5. Step 5: Solve for x
    x = 932,673,606.14/43,787.84
  6. Step 6: Final answer
    x = 21,299.83

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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.