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Finding the Fourth Proportional to 82,342.42, 113,632.57 and 44,616.67

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Solution

The fourth proportional to 82,342.42, 113,632.57 and 44,616.67 is: 61,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,342.42 : 113,632.57 = 44,616.67 : x
  2. Step 2: Convert to fraction form
    82,342.42/113,632.57 = 44,616.67/x
  3. Step 3: Cross multiply
    82,342.42x = 113,632.57 × 44,616.67
  4. Step 4: Simplify right side
    82,342.42x = 5,069,907,287.81
  5. Step 5: Solve for x
    x = 5,069,907,287.81/82,342.42
  6. Step 6: Final answer
    x = 61,571.02

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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.