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Finding the Fourth Proportional to 30,986.32, 46,453.38 and 13,442.96

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Solution

The fourth proportional to 30,986.32, 46,453.38 and 13,442.96 is: 20,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.32 : 46,453.38 = 13,442.96 : x
  2. Step 2: Convert to fraction form
    30,986.32/46,453.38 = 13,442.96/x
  3. Step 3: Cross multiply
    30,986.32x = 46,453.38 × 13,442.96
  4. Step 4: Simplify right side
    30,986.32x = 624,470,929.20
  5. Step 5: Solve for x
    x = 624,470,929.20/30,986.32
  6. Step 6: Final answer
    x = 20,153.12

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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.