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Finding the Fourth Proportional to 28,823, 43,234.50 and 6,935

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Solution

The fourth proportional to 28,823, 43,234.50 and 6,935 is: 10,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,823 : 43,234.50 = 6,935 : x
  2. Step 2: Convert to fraction form
    28,823/43,234.50 = 6,935/x
  3. Step 3: Cross multiply
    28,823x = 43,234.50 × 6,935
  4. Step 4: Simplify right side
    28,823x = 299,831,257.50
  5. Step 5: Solve for x
    x = 299,831,257.50/28,823
  6. Step 6: Final answer
    x = 10,402.50

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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.