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Finding the Fourth Proportional to 105,105.50, 157,684.93 and 30,224.04

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Solution

The fourth proportional to 105,105.50, 157,684.93 and 30,224.04 is: 45,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,105.50 : 157,684.93 = 30,224.04 : x
  2. Step 2: Convert to fraction form
    105,105.50/157,684.93 = 30,224.04/x
  3. Step 3: Cross multiply
    105,105.50x = 157,684.93 × 30,224.04
  4. Step 4: Simplify right side
    105,105.50x = 4,765,874,964.84
  5. Step 5: Solve for x
    x = 4,765,874,964.84/105,105.50
  6. Step 6: Final answer
    x = 45,343.73

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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.