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Finding the Fourth Proportional to 102,957.44, 154,447.68 and 32,820.48

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Solution

The fourth proportional to 102,957.44, 154,447.68 and 32,820.48 is: 49,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,957.44 : 154,447.68 = 32,820.48 : x
  2. Step 2: Convert to fraction form
    102,957.44/154,447.68 = 32,820.48/x
  3. Step 3: Cross multiply
    102,957.44x = 154,447.68 × 32,820.48
  4. Step 4: Simplify right side
    102,957.44x = 5,069,046,992.49
  5. Step 5: Solve for x
    x = 5,069,046,992.49/102,957.44
  6. Step 6: Final answer
    x = 49,234.39

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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.