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Finding the Fourth Proportional to 30,539.52, 45,806.40 and 9,757.44

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Solution

The fourth proportional to 30,539.52, 45,806.40 and 9,757.44 is: 14,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.52 : 45,806.40 = 9,757.44 : x
  2. Step 2: Convert to fraction form
    30,539.52/45,806.40 = 9,757.44/x
  3. Step 3: Cross multiply
    30,539.52x = 45,806.40 × 9,757.44
  4. Step 4: Simplify right side
    30,539.52x = 446,953,199.62
  5. Step 5: Solve for x
    x = 446,953,199.62/30,539.52
  6. Step 6: Final answer
    x = 14,635.24

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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.