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Finding the Fourth Proportional to 30,832.37, 46,255.44 and 9,773.58

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Solution

The fourth proportional to 30,832.37, 46,255.44 and 9,773.58 is: 14,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.37 : 46,255.44 = 9,773.58 : x
  2. Step 2: Convert to fraction form
    30,832.37/46,255.44 = 9,773.58/x
  3. Step 3: Cross multiply
    30,832.37x = 46,255.44 × 9,773.58
  4. Step 4: Simplify right side
    30,832.37x = 452,081,243.28
  5. Step 5: Solve for x
    x = 452,081,243.28/30,832.37
  6. Step 6: Final answer
    x = 14,662.55

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