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Finding the Fourth Proportional to 30,893.73, 46,342.23 and 9,832.32

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Solution

The fourth proportional to 30,893.73, 46,342.23 and 9,832.32 is: 14,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.73 : 46,342.23 = 9,832.32 : x
  2. Step 2: Convert to fraction form
    30,893.73/46,342.23 = 9,832.32/x
  3. Step 3: Cross multiply
    30,893.73x = 46,342.23 × 9,832.32
  4. Step 4: Simplify right side
    30,893.73x = 455,651,634.87
  5. Step 5: Solve for x
    x = 455,651,634.87/30,893.73
  6. Step 6: Final answer
    x = 14,749.00

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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.