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Finding the Fourth Proportional to 57,823.88, 86,735.84 and 16,270.88

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Solution

The fourth proportional to 57,823.88, 86,735.84 and 16,270.88 is: 24,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,823.88 : 86,735.84 = 16,270.88 : x
  2. Step 2: Convert to fraction form
    57,823.88/86,735.84 = 16,270.88/x
  3. Step 3: Cross multiply
    57,823.88x = 86,735.84 × 16,270.88
  4. Step 4: Simplify right side
    57,823.88x = 1,411,267,929.31
  5. Step 5: Solve for x
    x = 1,411,267,929.31/57,823.88
  6. Step 6: Final answer
    x = 24,406.32

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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.