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Finding the Fourth Proportional to 99,958.56, 149,936.76 and 29,838.48

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Solution

The fourth proportional to 99,958.56, 149,936.76 and 29,838.48 is: 44,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,958.56 : 149,936.76 = 29,838.48 : x
  2. Step 2: Convert to fraction form
    99,958.56/149,936.76 = 29,838.48/x
  3. Step 3: Cross multiply
    99,958.56x = 149,936.76 × 29,838.48
  4. Step 4: Simplify right side
    99,958.56x = 4,473,885,014.52
  5. Step 5: Solve for x
    x = 4,473,885,014.52/99,958.56
  6. Step 6: Final answer
    x = 44,757.40

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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.