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Finding the Fourth Proportional to 30,321.44, 45,475.68 and 9,540.32

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Solution

The fourth proportional to 30,321.44, 45,475.68 and 9,540.32 is: 14,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321.44 : 45,475.68 = 9,540.32 : x
  2. Step 2: Convert to fraction form
    30,321.44/45,475.68 = 9,540.32/x
  3. Step 3: Cross multiply
    30,321.44x = 45,475.68 × 9,540.32
  4. Step 4: Simplify right side
    30,321.44x = 433,852,539.42
  5. Step 5: Solve for x
    x = 433,852,539.42/30,321.44
  6. Step 6: Final answer
    x = 14,308.44

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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.