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Finding the Fourth Proportional to 71,772.73, 107,655.44 and 21,851.73

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Solution

The fourth proportional to 71,772.73, 107,655.44 and 21,851.73 is: 32,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,772.73 : 107,655.44 = 21,851.73 : x
  2. Step 2: Convert to fraction form
    71,772.73/107,655.44 = 21,851.73/x
  3. Step 3: Cross multiply
    71,772.73x = 107,655.44 × 21,851.73
  4. Step 4: Simplify right side
    71,772.73x = 2,352,457,498.65
  5. Step 5: Solve for x
    x = 2,352,457,498.65/71,772.73
  6. Step 6: Final answer
    x = 32,776.48

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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.