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Finding the Fourth Proportional to 46,014.80, 69,022.20 and 16,433.60

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Solution

The fourth proportional to 46,014.80, 69,022.20 and 16,433.60 is: 24,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,014.80 : 69,022.20 = 16,433.60 : x
  2. Step 2: Convert to fraction form
    46,014.80/69,022.20 = 16,433.60/x
  3. Step 3: Cross multiply
    46,014.80x = 69,022.20 × 16,433.60
  4. Step 4: Simplify right side
    46,014.80x = 1,134,283,225.92
  5. Step 5: Solve for x
    x = 1,134,283,225.92/46,014.80
  6. Step 6: Final answer
    x = 24,650.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.