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Finding the Fourth Proportional to 57,696.92, 86,394.38 and 46,392.20

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Solution

The fourth proportional to 57,696.92, 86,394.38 and 46,392.20 is: 69,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,696.92 : 86,394.38 = 46,392.20 : x
  2. Step 2: Convert to fraction form
    57,696.92/86,394.38 = 46,392.20/x
  3. Step 3: Cross multiply
    57,696.92x = 86,394.38 × 46,392.20
  4. Step 4: Simplify right side
    57,696.92x = 4,008,025,355.84
  5. Step 5: Solve for x
    x = 4,008,025,355.84/57,696.92
  6. Step 6: Final answer
    x = 69,466.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.