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Finding the Fourth Proportional to 30,783.87, 42,481.94 and 16,636.68

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Solution

The fourth proportional to 30,783.87, 42,481.94 and 16,636.68 is: 22,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.87 : 42,481.94 = 16,636.68 : x
  2. Step 2: Convert to fraction form
    30,783.87/42,481.94 = 16,636.68/x
  3. Step 3: Cross multiply
    30,783.87x = 42,481.94 × 16,636.68
  4. Step 4: Simplify right side
    30,783.87x = 706,758,358.38
  5. Step 5: Solve for x
    x = 706,758,358.38/30,783.87
  6. Step 6: Final answer
    x = 22,958.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.