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Finding the Fourth Proportional to 95,475, 143,212.50 and 29,811

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Solution

The fourth proportional to 95,475, 143,212.50 and 29,811 is: 44,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,475 : 143,212.50 = 29,811 : x
  2. Step 2: Convert to fraction form
    95,475/143,212.50 = 29,811/x
  3. Step 3: Cross multiply
    95,475x = 143,212.50 × 29,811
  4. Step 4: Simplify right side
    95,475x = 4,269,307,837.50
  5. Step 5: Solve for x
    x = 4,269,307,837.50/95,475
  6. Step 6: Final answer
    x = 44,716.50

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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.