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Finding the Fourth Proportional to 30,032.64, 44,990.16 and 19,612.80

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Solution

The fourth proportional to 30,032.64, 44,990.16 and 19,612.80 is: 29,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032.64 : 44,990.16 = 19,612.80 : x
  2. Step 2: Convert to fraction form
    30,032.64/44,990.16 = 19,612.80/x
  3. Step 3: Cross multiply
    30,032.64x = 44,990.16 × 19,612.80
  4. Step 4: Simplify right side
    30,032.64x = 882,383,010.05
  5. Step 5: Solve for x
    x = 882,383,010.05/30,032.64
  6. Step 6: Final answer
    x = 29,380.80

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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.