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Finding the Fourth Proportional to 30,850.92, 42,574.14 and 16,703.82

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Solution

The fourth proportional to 30,850.92, 42,574.14 and 16,703.82 is: 23,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850.92 : 42,574.14 = 16,703.82 : x
  2. Step 2: Convert to fraction form
    30,850.92/42,574.14 = 16,703.82/x
  3. Step 3: Cross multiply
    30,850.92x = 42,574.14 × 16,703.82
  4. Step 4: Simplify right side
    30,850.92x = 711,150,771.21
  5. Step 5: Solve for x
    x = 711,150,771.21/30,850.92
  6. Step 6: Final answer
    x = 23,051.20

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