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Finding the Fourth Proportional to 35,968, 49,634.76 and 19,835.31

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Solution

The fourth proportional to 35,968, 49,634.76 and 19,835.31 is: 27,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,968 : 49,634.76 = 19,835.31 : x
  2. Step 2: Convert to fraction form
    35,968/49,634.76 = 19,835.31/x
  3. Step 3: Cross multiply
    35,968x = 49,634.76 × 19,835.31
  4. Step 4: Simplify right side
    35,968x = 984,520,504.03
  5. Step 5: Solve for x
    x = 984,520,504.03/35,968
  6. Step 6: Final answer
    x = 27,372.12

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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.