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Finding the Fourth Proportional to 105,019.49, 157,481.85 and 30,122.45

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Solution

The fourth proportional to 105,019.49, 157,481.85 and 30,122.45 is: 45,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,019.49 : 157,481.85 = 30,122.45 : x
  2. Step 2: Convert to fraction form
    105,019.49/157,481.85 = 30,122.45/x
  3. Step 3: Cross multiply
    105,019.49x = 157,481.85 × 30,122.45
  4. Step 4: Simplify right side
    105,019.49x = 4,743,739,152.53
  5. Step 5: Solve for x
    x = 4,743,739,152.53/105,019.49
  6. Step 6: Final answer
    x = 45,170.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.