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Finding the Fourth Proportional to 30,822.80, 46,234.50 and 9,762.44

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Solution

The fourth proportional to 30,822.80, 46,234.50 and 9,762.44 is: 14,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.80 : 46,234.50 = 9,762.44 : x
  2. Step 2: Convert to fraction form
    30,822.80/46,234.50 = 9,762.44/x
  3. Step 3: Cross multiply
    30,822.80x = 46,234.50 × 9,762.44
  4. Step 4: Simplify right side
    30,822.80x = 451,361,301.01
  5. Step 5: Solve for x
    x = 451,361,301.01/30,822.80
  6. Step 6: Final answer
    x = 14,643.75

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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.