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Finding the Fourth Proportional to 35,714.18, 49,282.25 and 19,797.27

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Solution

The fourth proportional to 35,714.18, 49,282.25 and 19,797.27 is: 27,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.18 : 49,282.25 = 19,797.27 : x
  2. Step 2: Convert to fraction form
    35,714.18/49,282.25 = 19,797.27/x
  3. Step 3: Cross multiply
    35,714.18x = 49,282.25 × 19,797.27
  4. Step 4: Simplify right side
    35,714.18x = 975,653,910.47
  5. Step 5: Solve for x
    x = 975,653,910.47/35,714.18
  6. Step 6: Final answer
    x = 27,318.39

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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.