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Finding the Fourth Proportional to 84,099, 126,148.50 and 34,206.24

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Solution

The fourth proportional to 84,099, 126,148.50 and 34,206.24 is: 51,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,099 : 126,148.50 = 34,206.24 : x
  2. Step 2: Convert to fraction form
    84,099/126,148.50 = 34,206.24/x
  3. Step 3: Cross multiply
    84,099x = 126,148.50 × 34,206.24
  4. Step 4: Simplify right side
    84,099x = 4,315,065,866.64
  5. Step 5: Solve for x
    x = 4,315,065,866.64/84,099
  6. Step 6: Final answer
    x = 51,309.36

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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.