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Finding the Fourth Proportional to 30,811.68, 42,520.02 and 16,664.52

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Solution

The fourth proportional to 30,811.68, 42,520.02 and 16,664.52 is: 22,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.68 : 42,520.02 = 16,664.52 : x
  2. Step 2: Convert to fraction form
    30,811.68/42,520.02 = 16,664.52/x
  3. Step 3: Cross multiply
    30,811.68x = 42,520.02 × 16,664.52
  4. Step 4: Simplify right side
    30,811.68x = 708,575,723.69
  5. Step 5: Solve for x
    x = 708,575,723.69/30,811.68
  6. Step 6: Final answer
    x = 22,996.98

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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.