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Finding the Fourth Proportional to 100,566.72, 150,850.44 and 34,007.40

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Solution

The fourth proportional to 100,566.72, 150,850.44 and 34,007.40 is: 51,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,566.72 : 150,850.44 = 34,007.40 : x
  2. Step 2: Convert to fraction form
    100,566.72/150,850.44 = 34,007.40/x
  3. Step 3: Cross multiply
    100,566.72x = 150,850.44 × 34,007.40
  4. Step 4: Simplify right side
    100,566.72x = 5,130,031,253.26
  5. Step 5: Solve for x
    x = 5,130,031,253.26/100,566.72
  6. Step 6: Final answer
    x = 51,011.22

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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.