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Finding the Fourth Proportional to 81,533.80, 122,287.59 and 22,355.74

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Solution

The fourth proportional to 81,533.80, 122,287.59 and 22,355.74 is: 33,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,533.80 : 122,287.59 = 22,355.74 : x
  2. Step 2: Convert to fraction form
    81,533.80/122,287.59 = 22,355.74/x
  3. Step 3: Cross multiply
    81,533.80x = 122,287.59 × 22,355.74
  4. Step 4: Simplify right side
    81,533.80x = 2,733,829,567.27
  5. Step 5: Solve for x
    x = 2,733,829,567.27/81,533.80
  6. Step 6: Final answer
    x = 33,530.02

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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.