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Finding the Fourth Proportional to 81,778.96, 122,642.52 and 26,362

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Solution

The fourth proportional to 81,778.96, 122,642.52 and 26,362 is: 39,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,778.96 : 122,642.52 = 26,362 : x
  2. Step 2: Convert to fraction form
    81,778.96/122,642.52 = 26,362/x
  3. Step 3: Cross multiply
    81,778.96x = 122,642.52 × 26,362
  4. Step 4: Simplify right side
    81,778.96x = 3,233,102,112.24
  5. Step 5: Solve for x
    x = 3,233,102,112.24/81,778.96
  6. Step 6: Final answer
    x = 39,534.64

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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.