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Finding the Fourth Proportional to 54,944.59, 82,416.81 and 19,876.03

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Solution

The fourth proportional to 54,944.59, 82,416.81 and 19,876.03 is: 29,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,944.59 : 82,416.81 = 19,876.03 : x
  2. Step 2: Convert to fraction form
    54,944.59/82,416.81 = 19,876.03/x
  3. Step 3: Cross multiply
    54,944.59x = 82,416.81 × 19,876.03
  4. Step 4: Simplify right side
    54,944.59x = 1,638,118,988.06
  5. Step 5: Solve for x
    x = 1,638,118,988.06/54,944.59
  6. Step 6: Final answer
    x = 29,814.02

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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.