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Finding the Fourth Proportional to 84,604.50, 126,926.19 and 29,200.50

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Solution

The fourth proportional to 84,604.50, 126,926.19 and 29,200.50 is: 43,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,604.50 : 126,926.19 = 29,200.50 : x
  2. Step 2: Convert to fraction form
    84,604.50/126,926.19 = 29,200.50/x
  3. Step 3: Cross multiply
    84,604.50x = 126,926.19 × 29,200.50
  4. Step 4: Simplify right side
    84,604.50x = 3,706,308,211.10
  5. Step 5: Solve for x
    x = 3,706,308,211.10/84,604.50
  6. Step 6: Final answer
    x = 43,807.46

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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.