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Finding the Fourth Proportional to 100,564.72, 150,847.44 and 34,005.40

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Solution

The fourth proportional to 100,564.72, 150,847.44 and 34,005.40 is: 51,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,564.72 : 150,847.44 = 34,005.40 : x
  2. Step 2: Convert to fraction form
    100,564.72/150,847.44 = 34,005.40/x
  3. Step 3: Cross multiply
    100,564.72x = 150,847.44 × 34,005.40
  4. Step 4: Simplify right side
    100,564.72x = 5,129,627,536.18
  5. Step 5: Solve for x
    x = 5,129,627,536.18/100,564.72
  6. Step 6: Final answer
    x = 51,008.22

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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.