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Finding the Fourth Proportional to 100,565.23, 150,843.23 and 29,485.00

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Solution

The fourth proportional to 100,565.23, 150,843.23 and 29,485.00 is: 44,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.23 : 150,843.23 = 29,485.00 : x
  2. Step 2: Convert to fraction form
    100,565.23/150,843.23 = 29,485.00/x
  3. Step 3: Cross multiply
    100,565.23x = 150,843.23 × 29,485.00
  4. Step 4: Simplify right side
    100,565.23x = 4,447,611,882.33
  5. Step 5: Solve for x
    x = 4,447,611,882.33/100,565.23
  6. Step 6: Final answer
    x = 44,226.14

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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.