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Finding the Fourth Proportional to 46,193, 69,312.60 and 16,617.48

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Solution

The fourth proportional to 46,193, 69,312.60 and 16,617.48 is: 24,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,193 : 69,312.60 = 16,617.48 : x
  2. Step 2: Convert to fraction form
    46,193/69,312.60 = 16,617.48/x
  3. Step 3: Cross multiply
    46,193x = 69,312.60 × 16,617.48
  4. Step 4: Simplify right side
    46,193x = 1,151,800,744.25
  5. Step 5: Solve for x
    x = 1,151,800,744.25/46,193
  6. Step 6: Final answer
    x = 24,934.53

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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.