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Finding the Fourth Proportional to 30,777.82, 42,473.42 and 16,630.70

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Solution

The fourth proportional to 30,777.82, 42,473.42 and 16,630.70 is: 22,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.82 : 42,473.42 = 16,630.70 : x
  2. Step 2: Convert to fraction form
    30,777.82/42,473.42 = 16,630.70/x
  3. Step 3: Cross multiply
    30,777.82x = 42,473.42 × 16,630.70
  4. Step 4: Simplify right side
    30,777.82x = 706,362,705.99
  5. Step 5: Solve for x
    x = 706,362,705.99/30,777.82
  6. Step 6: Final answer
    x = 22,950.38

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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.