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Finding the Fourth Proportional to 35,714.79, 49,295.97 and 22,278

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Solution

The fourth proportional to 35,714.79, 49,295.97 and 22,278 is: 30,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.79 : 49,295.97 = 22,278 : x
  2. Step 2: Convert to fraction form
    35,714.79/49,295.97 = 22,278/x
  3. Step 3: Cross multiply
    35,714.79x = 49,295.97 × 22,278
  4. Step 4: Simplify right side
    35,714.79x = 1,098,215,619.66
  5. Step 5: Solve for x
    x = 1,098,215,619.66/35,714.79
  6. Step 6: Final answer
    x = 30,749.60

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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.