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Finding the Fourth Proportional to 100,575.10, 150,878.94 and 34,019.20

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Solution

The fourth proportional to 100,575.10, 150,878.94 and 34,019.20 is: 51,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,575.10 : 150,878.94 = 34,019.20 : x
  2. Step 2: Convert to fraction form
    100,575.10/150,878.94 = 34,019.20/x
  3. Step 3: Cross multiply
    100,575.10x = 150,878.94 × 34,019.20
  4. Step 4: Simplify right side
    100,575.10x = 5,132,780,835.65
  5. Step 5: Solve for x
    x = 5,132,780,835.65/100,575.10
  6. Step 6: Final answer
    x = 51,034.31

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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.