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Finding the Fourth Proportional to 30,282.75, 41,702 and 23,557.04

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Solution

The fourth proportional to 30,282.75, 41,702 and 23,557.04 is: 32,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.75 : 41,702 = 23,557.04 : x
  2. Step 2: Convert to fraction form
    30,282.75/41,702 = 23,557.04/x
  3. Step 3: Cross multiply
    30,282.75x = 41,702 × 23,557.04
  4. Step 4: Simplify right side
    30,282.75x = 982,375,682.08
  5. Step 5: Solve for x
    x = 982,375,682.08/30,282.75
  6. Step 6: Final answer
    x = 32,440.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.