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Finding the Fourth Proportional to 82,485.56, 113,830.38 and 44,759.81

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Solution

The fourth proportional to 82,485.56, 113,830.38 and 44,759.81 is: 61,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,485.56 : 113,830.38 = 44,759.81 : x
  2. Step 2: Convert to fraction form
    82,485.56/113,830.38 = 44,759.81/x
  3. Step 3: Cross multiply
    82,485.56x = 113,830.38 × 44,759.81
  4. Step 4: Simplify right side
    82,485.56x = 5,095,026,465.60
  5. Step 5: Solve for x
    x = 5,095,026,465.60/82,485.56
  6. Step 6: Final answer
    x = 61,768.71

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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.