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Finding the Fourth Proportional to 72,080.40, 108,137.46 and 24,696

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Solution

The fourth proportional to 72,080.40, 108,137.46 and 24,696 is: 37,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,080.40 : 108,137.46 = 24,696 : x
  2. Step 2: Convert to fraction form
    72,080.40/108,137.46 = 24,696/x
  3. Step 3: Cross multiply
    72,080.40x = 108,137.46 × 24,696
  4. Step 4: Simplify right side
    72,080.40x = 2,670,562,712.16
  5. Step 5: Solve for x
    x = 2,670,562,712.16/72,080.40
  6. Step 6: Final answer
    x = 37,049.78

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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.