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Finding the Fourth Proportional to 65,714, 90,685.44 and 35,906

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Solution

The fourth proportional to 65,714, 90,685.44 and 35,906 is: 49,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714 : 90,685.44 = 35,906 : x
  2. Step 2: Convert to fraction form
    65,714/90,685.44 = 35,906/x
  3. Step 3: Cross multiply
    65,714x = 90,685.44 × 35,906
  4. Step 4: Simplify right side
    65,714x = 3,256,151,408.64
  5. Step 5: Solve for x
    x = 3,256,151,408.64/65,714
  6. Step 6: Final answer
    x = 49,550.35

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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.