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Finding the Fourth Proportional to 50,575.46, 75,825.75 and 24,255.14

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Solution

The fourth proportional to 50,575.46, 75,825.75 and 24,255.14 is: 36,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,575.46 : 75,825.75 = 24,255.14 : x
  2. Step 2: Convert to fraction form
    50,575.46/75,825.75 = 24,255.14/x
  3. Step 3: Cross multiply
    50,575.46x = 75,825.75 × 24,255.14
  4. Step 4: Simplify right side
    50,575.46x = 1,839,164,181.86
  5. Step 5: Solve for x
    x = 1,839,164,181.86/50,575.46
  6. Step 6: Final answer
    x = 36,364.75

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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.