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Finding the Fourth Proportional to 57,892.88, 86,839.32 and 14,116.88

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Solution

The fourth proportional to 57,892.88, 86,839.32 and 14,116.88 is: 21,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,892.88 : 86,839.32 = 14,116.88 : x
  2. Step 2: Convert to fraction form
    57,892.88/86,839.32 = 14,116.88/x
  3. Step 3: Cross multiply
    57,892.88x = 86,839.32 × 14,116.88
  4. Step 4: Simplify right side
    57,892.88x = 1,225,899,825.53
  5. Step 5: Solve for x
    x = 1,225,899,825.53/57,892.88
  6. Step 6: Final answer
    x = 21,175.31

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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.