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Finding the Fourth Proportional to 30,809.76, 42,517.47 and 16,662.60

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Solution

The fourth proportional to 30,809.76, 42,517.47 and 16,662.60 is: 22,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.76 : 42,517.47 = 16,662.60 : x
  2. Step 2: Convert to fraction form
    30,809.76/42,517.47 = 16,662.60/x
  3. Step 3: Cross multiply
    30,809.76x = 42,517.47 × 16,662.60
  4. Step 4: Simplify right side
    30,809.76x = 708,451,595.62
  5. Step 5: Solve for x
    x = 708,451,595.62/30,809.76
  6. Step 6: Final answer
    x = 22,994.39

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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.