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Finding the Fourth Proportional to 84,382.26, 116,442.24 and 46,656.54

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Solution

The fourth proportional to 84,382.26, 116,442.24 and 46,656.54 is: 64,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,382.26 : 116,442.24 = 46,656.54 : x
  2. Step 2: Convert to fraction form
    84,382.26/116,442.24 = 46,656.54/x
  3. Step 3: Cross multiply
    84,382.26x = 116,442.24 × 46,656.54
  4. Step 4: Simplify right side
    84,382.26x = 5,432,792,028.25
  5. Step 5: Solve for x
    x = 5,432,792,028.25/84,382.26
  6. Step 6: Final answer
    x = 64,383.11

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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.