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Finding the Fourth Proportional to 57,893.21, 86,839.81 and 16,340.21

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Solution

The fourth proportional to 57,893.21, 86,839.81 and 16,340.21 is: 24,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,893.21 : 86,839.81 = 16,340.21 : x
  2. Step 2: Convert to fraction form
    57,893.21/86,839.81 = 16,340.21/x
  3. Step 3: Cross multiply
    57,893.21x = 86,839.81 × 16,340.21
  4. Step 4: Simplify right side
    57,893.21x = 1,418,980,731.76
  5. Step 5: Solve for x
    x = 1,418,980,731.76/57,893.21
  6. Step 6: Final answer
    x = 24,510.31

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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.