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Finding the Fourth Proportional to 41,805, 57,690.99 and 22,942.08

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Solution

The fourth proportional to 41,805, 57,690.99 and 22,942.08 is: 31,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,805 : 57,690.99 = 22,942.08 : x
  2. Step 2: Convert to fraction form
    41,805/57,690.99 = 22,942.08/x
  3. Step 3: Cross multiply
    41,805x = 57,690.99 × 22,942.08
  4. Step 4: Simplify right side
    41,805x = 1,323,551,307.86
  5. Step 5: Solve for x
    x = 1,323,551,307.86/41,805
  6. Step 6: Final answer
    x = 31,660.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.