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Finding the Fourth Proportional to 30,771.72, 46,153.38 and 11,047.44

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Solution

The fourth proportional to 30,771.72, 46,153.38 and 11,047.44 is: 16,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.72 : 46,153.38 = 11,047.44 : x
  2. Step 2: Convert to fraction form
    30,771.72/46,153.38 = 11,047.44/x
  3. Step 3: Cross multiply
    30,771.72x = 46,153.38 × 11,047.44
  4. Step 4: Simplify right side
    30,771.72x = 509,876,696.35
  5. Step 5: Solve for x
    x = 509,876,696.35/30,771.72
  6. Step 6: Final answer
    x = 16,569.65

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1.5x scale

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.