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Finding the Fourth Proportional to 26,500.50, 39,750.84 and 8,032.50

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Solution

The fourth proportional to 26,500.50, 39,750.84 and 8,032.50 is: 12,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,500.50 : 39,750.84 = 8,032.50 : x
  2. Step 2: Convert to fraction form
    26,500.50/39,750.84 = 8,032.50/x
  3. Step 3: Cross multiply
    26,500.50x = 39,750.84 × 8,032.50
  4. Step 4: Simplify right side
    26,500.50x = 319,298,622.30
  5. Step 5: Solve for x
    x = 319,298,622.30/26,500.50
  6. Step 6: Final answer
    x = 12,048.78

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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.