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Finding the Fourth Proportional to 46,405.40, 69,608.10 and 16,823.20

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Solution

The fourth proportional to 46,405.40, 69,608.10 and 16,823.20 is: 25,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,405.40 : 69,608.10 = 16,823.20 : x
  2. Step 2: Convert to fraction form
    46,405.40/69,608.10 = 16,823.20/x
  3. Step 3: Cross multiply
    46,405.40x = 69,608.10 × 16,823.20
  4. Step 4: Simplify right side
    46,405.40x = 1,171,030,987.92
  5. Step 5: Solve for x
    x = 1,171,030,987.92/46,405.40
  6. Step 6: Final answer
    x = 25,234.80

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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.