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Finding the Fourth Proportional to 81,522.76, 122,281.26 and 22,357.48

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Solution

The fourth proportional to 81,522.76, 122,281.26 and 22,357.48 is: 33,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,522.76 : 122,281.26 = 22,357.48 : x
  2. Step 2: Convert to fraction form
    81,522.76/122,281.26 = 22,357.48/x
  3. Step 3: Cross multiply
    81,522.76x = 122,281.26 × 22,357.48
  4. Step 4: Simplify right side
    81,522.76x = 2,733,900,824.82
  5. Step 5: Solve for x
    x = 2,733,900,824.82/81,522.76
  6. Step 6: Final answer
    x = 33,535.43

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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.