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Finding the Fourth Proportional to 71,745.01, 107,623.52 and 21,825.48

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Solution

The fourth proportional to 71,745.01, 107,623.52 and 21,825.48 is: 32,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,745.01 : 107,623.52 = 21,825.48 : x
  2. Step 2: Convert to fraction form
    71,745.01/107,623.52 = 21,825.48/x
  3. Step 3: Cross multiply
    71,745.01x = 107,623.52 × 21,825.48
  4. Step 4: Simplify right side
    71,745.01x = 2,348,935,359.60
  5. Step 5: Solve for x
    x = 2,348,935,359.60/71,745.01
  6. Step 6: Final answer
    x = 32,740.05

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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.