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Finding the Fourth Proportional to 108,019.50, 162,029.26 and 34,147.50

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Solution

The fourth proportional to 108,019.50, 162,029.26 and 34,147.50 is: 51,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,019.50 : 162,029.26 = 34,147.50 : x
  2. Step 2: Convert to fraction form
    108,019.50/162,029.26 = 34,147.50/x
  3. Step 3: Cross multiply
    108,019.50x = 162,029.26 × 34,147.50
  4. Step 4: Simplify right side
    108,019.50x = 5,532,894,155.85
  5. Step 5: Solve for x
    x = 5,532,894,155.85/108,019.50
  6. Step 6: Final answer
    x = 51,221.25

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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.