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Finding the Fourth Proportional to 82,638.42, 114,040.49 and 44,912.67

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Solution

The fourth proportional to 82,638.42, 114,040.49 and 44,912.67 is: 61,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,638.42 : 114,040.49 = 44,912.67 : x
  2. Step 2: Convert to fraction form
    82,638.42/114,040.49 = 44,912.67/x
  3. Step 3: Cross multiply
    82,638.42x = 114,040.49 × 44,912.67
  4. Step 4: Simplify right side
    82,638.42x = 5,121,862,669.44
  5. Step 5: Solve for x
    x = 5,121,862,669.44/82,638.42
  6. Step 6: Final answer
    x = 61,979.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.