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Finding the Fourth Proportional to 82,069.22, 113,253.94 and 46,258.54

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Solution

The fourth proportional to 82,069.22, 113,253.94 and 46,258.54 is: 63,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,069.22 : 113,253.94 = 46,258.54 : x
  2. Step 2: Convert to fraction form
    82,069.22/113,253.94 = 46,258.54/x
  3. Step 3: Cross multiply
    82,069.22x = 113,253.94 × 46,258.54
  4. Step 4: Simplify right side
    82,069.22x = 5,238,961,913.65
  5. Step 5: Solve for x
    x = 5,238,961,913.65/82,069.22
  6. Step 6: Final answer
    x = 63,835.89

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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.