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Finding the Fourth Proportional to 72,584.84, 108,892.80 and 25,201.41

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Solution

The fourth proportional to 72,584.84, 108,892.80 and 25,201.41 is: 37,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,584.84 : 108,892.80 = 25,201.41 : x
  2. Step 2: Convert to fraction form
    72,584.84/108,892.80 = 25,201.41/x
  3. Step 3: Cross multiply
    72,584.84x = 108,892.80 × 25,201.41
  4. Step 4: Simplify right side
    72,584.84x = 2,744,252,098.85
  5. Step 5: Solve for x
    x = 2,744,252,098.85/72,584.84
  6. Step 6: Final answer
    x = 37,807.51

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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.