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Finding the Fourth Proportional to 81,633.32, 122,441.34 and 26,225

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Solution

The fourth proportional to 81,633.32, 122,441.34 and 26,225 is: 39,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,633.32 : 122,441.34 = 26,225 : x
  2. Step 2: Convert to fraction form
    81,633.32/122,441.34 = 26,225/x
  3. Step 3: Cross multiply
    81,633.32x = 122,441.34 × 26,225
  4. Step 4: Simplify right side
    81,633.32x = 3,211,024,141.50
  5. Step 5: Solve for x
    x = 3,211,024,141.50/81,633.32
  6. Step 6: Final answer
    x = 39,334.72

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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.