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Finding the Fourth Proportional to 104,705.28, 157,063.05 and 29,830.68

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Solution

The fourth proportional to 104,705.28, 157,063.05 and 29,830.68 is: 44,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,705.28 : 157,063.05 = 29,830.68 : x
  2. Step 2: Convert to fraction form
    104,705.28/157,063.05 = 29,830.68/x
  3. Step 3: Cross multiply
    104,705.28x = 157,063.05 × 29,830.68
  4. Step 4: Simplify right side
    104,705.28x = 4,685,297,584.37
  5. Step 5: Solve for x
    x = 4,685,297,584.37/104,705.28
  6. Step 6: Final answer
    x = 44,747.48

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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.