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Finding the Fourth Proportional to 35,714.98, 49,272.81 and 22,966.44

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Solution

The fourth proportional to 35,714.98, 49,272.81 and 22,966.44 is: 31,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.98 : 49,272.81 = 22,966.44 : x
  2. Step 2: Convert to fraction form
    35,714.98/49,272.81 = 22,966.44/x
  3. Step 3: Cross multiply
    35,714.98x = 49,272.81 × 22,966.44
  4. Step 4: Simplify right side
    35,714.98x = 1,131,620,763.60
  5. Step 5: Solve for x
    x = 1,131,620,763.60/35,714.98
  6. Step 6: Final answer
    x = 31,684.77

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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.