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Finding the Fourth Proportional to 84,596.32, 126,906 and 29,196.64

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Solution

The fourth proportional to 84,596.32, 126,906 and 29,196.64 is: 43,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,596.32 : 126,906 = 29,196.64 : x
  2. Step 2: Convert to fraction form
    84,596.32/126,906 = 29,196.64/x
  3. Step 3: Cross multiply
    84,596.32x = 126,906 × 29,196.64
  4. Step 4: Simplify right side
    84,596.32x = 3,705,228,795.84
  5. Step 5: Solve for x
    x = 3,705,228,795.84/84,596.32
  6. Step 6: Final answer
    x = 43,798.94

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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.