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Finding the Fourth Proportional to 54,892.98, 82,343.88 and 15,453.24

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Solution

The fourth proportional to 54,892.98, 82,343.88 and 15,453.24 is: 23,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,892.98 : 82,343.88 = 15,453.24 : x
  2. Step 2: Convert to fraction form
    54,892.98/82,343.88 = 15,453.24/x
  3. Step 3: Cross multiply
    54,892.98x = 82,343.88 × 15,453.24
  4. Step 4: Simplify right side
    54,892.98x = 1,272,479,740.17
  5. Step 5: Solve for x
    x = 1,272,479,740.17/54,892.98
  6. Step 6: Final answer
    x = 23,181.10

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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.