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Finding the Fourth Proportional to 82,161.56, 113,382.86 and 44,435.72

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Solution

The fourth proportional to 82,161.56, 113,382.86 and 44,435.72 is: 61,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,161.56 : 113,382.86 = 44,435.72 : x
  2. Step 2: Convert to fraction form
    82,161.56/113,382.86 = 44,435.72/x
  3. Step 3: Cross multiply
    82,161.56x = 113,382.86 × 44,435.72
  4. Step 4: Simplify right side
    82,161.56x = 5,038,249,019.76
  5. Step 5: Solve for x
    x = 5,038,249,019.76/82,161.56
  6. Step 6: Final answer
    x = 61,321.24

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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.