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Finding the Fourth Proportional to 54,877.42, 82,316.31 and 13,324.42

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Solution

The fourth proportional to 54,877.42, 82,316.31 and 13,324.42 is: 19,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,877.42 : 82,316.31 = 13,324.42 : x
  2. Step 2: Convert to fraction form
    54,877.42/82,316.31 = 13,324.42/x
  3. Step 3: Cross multiply
    54,877.42x = 82,316.31 × 13,324.42
  4. Step 4: Simplify right side
    54,877.42x = 1,096,817,087.29
  5. Step 5: Solve for x
    x = 1,096,817,087.29/54,877.42
  6. Step 6: Final answer
    x = 19,986.67

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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.