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Finding the Fourth Proportional to 35,852, 53,797.44 and 17,384

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Solution

The fourth proportional to 35,852, 53,797.44 and 17,384 is: 26,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852 : 53,797.44 = 17,384 : x
  2. Step 2: Convert to fraction form
    35,852/53,797.44 = 17,384/x
  3. Step 3: Cross multiply
    35,852x = 53,797.44 × 17,384
  4. Step 4: Simplify right side
    35,852x = 935,214,696.96
  5. Step 5: Solve for x
    x = 935,214,696.96/35,852
  6. Step 6: Final answer
    x = 26,085.43

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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.