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Finding the Fourth Proportional to 54,353.76, 81,492.43 and 23,944.47

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Solution

The fourth proportional to 54,353.76, 81,492.43 and 23,944.47 is: 35,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,353.76 : 81,492.43 = 23,944.47 : x
  2. Step 2: Convert to fraction form
    54,353.76/81,492.43 = 23,944.47/x
  3. Step 3: Cross multiply
    54,353.76x = 81,492.43 × 23,944.47
  4. Step 4: Simplify right side
    54,353.76x = 1,951,293,045.36
  5. Step 5: Solve for x
    x = 1,951,293,045.36/54,353.76
  6. Step 6: Final answer
    x = 35,899.87

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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.