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Finding the Fourth Proportional to 78,493.92, 108,283.54 and 46,640.27

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Solution

The fourth proportional to 78,493.92, 108,283.54 and 46,640.27 is: 64,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,493.92 : 108,283.54 = 46,640.27 : x
  2. Step 2: Convert to fraction form
    78,493.92/108,283.54 = 46,640.27/x
  3. Step 3: Cross multiply
    78,493.92x = 108,283.54 × 46,640.27
  4. Step 4: Simplify right side
    78,493.92x = 5,050,372,767.54
  5. Step 5: Solve for x
    x = 5,050,372,767.54/78,493.92
  6. Step 6: Final answer
    x = 64,340.94

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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.