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Finding the Fourth Proportional to 35,285, 52,893.84 and 13,092.44

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Solution

The fourth proportional to 35,285, 52,893.84 and 13,092.44 is: 19,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,285 : 52,893.84 = 13,092.44 : x
  2. Step 2: Convert to fraction form
    35,285/52,893.84 = 13,092.44/x
  3. Step 3: Cross multiply
    35,285x = 52,893.84 × 13,092.44
  4. Step 4: Simplify right side
    35,285x = 692,509,426.57
  5. Step 5: Solve for x
    x = 692,509,426.57/35,285
  6. Step 6: Final answer
    x = 19,626.17

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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.