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Finding the Fourth Proportional to 35,839, 49,455.48 and 19,922.86

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Solution

The fourth proportional to 35,839, 49,455.48 and 19,922.86 is: 27,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,839 : 49,455.48 = 19,922.86 : x
  2. Step 2: Convert to fraction form
    35,839/49,455.48 = 19,922.86/x
  3. Step 3: Cross multiply
    35,839x = 49,455.48 × 19,922.86
  4. Step 4: Simplify right side
    35,839x = 985,294,604.27
  5. Step 5: Solve for x
    x = 985,294,604.27/35,839
  6. Step 6: Final answer
    x = 27,492.25

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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.