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Finding the Fourth Proportional to 82,164, 113,386.36 and 44,438.24

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Solution

The fourth proportional to 82,164, 113,386.36 and 44,438.24 is: 61,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,164 : 113,386.36 = 44,438.24 : x
  2. Step 2: Convert to fraction form
    82,164/113,386.36 = 44,438.24/x
  3. Step 3: Cross multiply
    82,164x = 113,386.36 × 44,438.24
  4. Step 4: Simplify right side
    82,164x = 5,038,690,278.41
  5. Step 5: Solve for x
    x = 5,038,690,278.41/82,164
  6. Step 6: Final answer
    x = 61,324.79

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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.