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Finding the Fourth Proportional to 30,611.12, 45,941.36 and 15,824.25

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Solution

The fourth proportional to 30,611.12, 45,941.36 and 15,824.25 is: 23,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611.12 : 45,941.36 = 15,824.25 : x
  2. Step 2: Convert to fraction form
    30,611.12/45,941.36 = 15,824.25/x
  3. Step 3: Cross multiply
    30,611.12x = 45,941.36 × 15,824.25
  4. Step 4: Simplify right side
    30,611.12x = 726,987,486.86
  5. Step 5: Solve for x
    x = 726,987,486.86/30,611.12
  6. Step 6: Final answer
    x = 23,749.13

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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.