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Finding the Fourth Proportional to 35,744.76, 49,325.46 and 19,828.14

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Solution

The fourth proportional to 35,744.76, 49,325.46 and 19,828.14 is: 27,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744.76 : 49,325.46 = 19,828.14 : x
  2. Step 2: Convert to fraction form
    35,744.76/49,325.46 = 19,828.14/x
  3. Step 3: Cross multiply
    35,744.76x = 49,325.46 × 19,828.14
  4. Step 4: Simplify right side
    35,744.76x = 978,032,126.44
  5. Step 5: Solve for x
    x = 978,032,126.44/35,744.76
  6. Step 6: Final answer
    x = 27,361.55

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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.