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Finding the Fourth Proportional to 93,475, 140,212.50 and 27,811

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Solution

The fourth proportional to 93,475, 140,212.50 and 27,811 is: 41,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,475 : 140,212.50 = 27,811 : x
  2. Step 2: Convert to fraction form
    93,475/140,212.50 = 27,811/x
  3. Step 3: Cross multiply
    93,475x = 140,212.50 × 27,811
  4. Step 4: Simplify right side
    93,475x = 3,899,449,837.50
  5. Step 5: Solve for x
    x = 3,899,449,837.50/93,475
  6. Step 6: Final answer
    x = 41,716.50

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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.