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Finding the Fourth Proportional to 50,714.09, 76,073.06 and 17,434.02

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Solution

The fourth proportional to 50,714.09, 76,073.06 and 17,434.02 is: 26,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,714.09 : 76,073.06 = 17,434.02 : x
  2. Step 2: Convert to fraction form
    50,714.09/76,073.06 = 17,434.02/x
  3. Step 3: Cross multiply
    50,714.09x = 76,073.06 × 17,434.02
  4. Step 4: Simplify right side
    50,714.09x = 1,326,259,249.50
  5. Step 5: Solve for x
    x = 1,326,259,249.50/50,714.09
  6. Step 6: Final answer
    x = 26,151.69

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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.