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Finding the Fourth Proportional to 100,595, 150,915.84 and 29,514.77

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Solution

The fourth proportional to 100,595, 150,915.84 and 29,514.77 is: 44,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,595 : 150,915.84 = 29,514.77 : x
  2. Step 2: Convert to fraction form
    100,595/150,915.84 = 29,514.77/x
  3. Step 3: Cross multiply
    100,595x = 150,915.84 × 29,514.77
  4. Step 4: Simplify right side
    100,595x = 4,454,246,306.96
  5. Step 5: Solve for x
    x = 4,454,246,306.96/100,595
  6. Step 6: Final answer
    x = 44,279.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.