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Finding the Fourth Proportional to 57,933.36, 86,809.32 and 46,243.44

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Solution

The fourth proportional to 57,933.36, 86,809.32 and 46,243.44 is: 69,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,933.36 : 86,809.32 = 46,243.44 : x
  2. Step 2: Convert to fraction form
    57,933.36/86,809.32 = 46,243.44/x
  3. Step 3: Cross multiply
    57,933.36x = 86,809.32 × 46,243.44
  4. Step 4: Simplify right side
    57,933.36x = 4,014,361,580.86
  5. Step 5: Solve for x
    x = 4,014,361,580.86/57,933.36
  6. Step 6: Final answer
    x = 69,292.75

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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.