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Finding the Fourth Proportional to 30,909.94, 42,654.24 and 16,762.48

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Solution

The fourth proportional to 30,909.94, 42,654.24 and 16,762.48 is: 23,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.94 : 42,654.24 = 16,762.48 : x
  2. Step 2: Convert to fraction form
    30,909.94/42,654.24 = 16,762.48/x
  3. Step 3: Cross multiply
    30,909.94x = 42,654.24 × 16,762.48
  4. Step 4: Simplify right side
    30,909.94x = 714,990,844.92
  5. Step 5: Solve for x
    x = 714,990,844.92/30,909.94
  6. Step 6: Final answer
    x = 23,131.42

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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.