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Finding the Fourth Proportional to 32,420.25, 48,630.38 and 7,796.25

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Solution

The fourth proportional to 32,420.25, 48,630.38 and 7,796.25 is: 11,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420.25 : 48,630.38 = 7,796.25 : x
  2. Step 2: Convert to fraction form
    32,420.25/48,630.38 = 7,796.25/x
  3. Step 3: Cross multiply
    32,420.25x = 48,630.38 × 7,796.25
  4. Step 4: Simplify right side
    32,420.25x = 379,134,561.09
  5. Step 5: Solve for x
    x = 379,134,561.09/32,420.25
  6. Step 6: Final answer
    x = 11,694.38

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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.