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Finding the Fourth Proportional to 50,420.95, 75,533.01 and 30,650.47

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Solution

The fourth proportional to 50,420.95, 75,533.01 and 30,650.47 is: 45,915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,420.95 : 75,533.01 = 30,650.47 : x
  2. Step 2: Convert to fraction form
    50,420.95/75,533.01 = 30,650.47/x
  3. Step 3: Cross multiply
    50,420.95x = 75,533.01 × 30,650.47
  4. Step 4: Simplify right side
    50,420.95x = 2,315,122,257.01
  5. Step 5: Solve for x
    x = 2,315,122,257.01/50,420.95
  6. Step 6: Final answer
    x = 45,915.88

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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.