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Finding the Fourth Proportional to 82,164.24, 113,386.32 and 44,438.52

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Solution

The fourth proportional to 82,164.24, 113,386.32 and 44,438.52 is: 61,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,164.24 : 113,386.32 = 44,438.52 : x
  2. Step 2: Convert to fraction form
    82,164.24/113,386.32 = 44,438.52/x
  3. Step 3: Cross multiply
    82,164.24x = 113,386.32 × 44,438.52
  4. Step 4: Simplify right side
    82,164.24x = 5,038,720,249.05
  5. Step 5: Solve for x
    x = 5,038,720,249.05/82,164.24
  6. Step 6: Final answer
    x = 61,324.98

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