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Finding the Fourth Proportional to 101,714.89, 152,554.91 and 26,835.80

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Solution

The fourth proportional to 101,714.89, 152,554.91 and 26,835.80 is: 40,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,714.89 : 152,554.91 = 26,835.80 : x
  2. Step 2: Convert to fraction form
    101,714.89/152,554.91 = 26,835.80/x
  3. Step 3: Cross multiply
    101,714.89x = 152,554.91 × 26,835.80
  4. Step 4: Simplify right side
    101,714.89x = 4,093,933,053.78
  5. Step 5: Solve for x
    x = 4,093,933,053.78/101,714.89
  6. Step 6: Final answer
    x = 40,249.10

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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.