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Finding the Fourth Proportional to 95,041, 142,561.50 and 29,377

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Solution

The fourth proportional to 95,041, 142,561.50 and 29,377 is: 44,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,041 : 142,561.50 = 29,377 : x
  2. Step 2: Convert to fraction form
    95,041/142,561.50 = 29,377/x
  3. Step 3: Cross multiply
    95,041x = 142,561.50 × 29,377
  4. Step 4: Simplify right side
    95,041x = 4,188,029,185.50
  5. Step 5: Solve for x
    x = 4,188,029,185.50/95,041
  6. Step 6: Final answer
    x = 44,065.50

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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.