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Finding the Fourth Proportional to 30,771.57, 42,464.78 and 16,624.41

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Solution

The fourth proportional to 30,771.57, 42,464.78 and 16,624.41 is: 22,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.57 : 42,464.78 = 16,624.41 : x
  2. Step 2: Convert to fraction form
    30,771.57/42,464.78 = 16,624.41/x
  3. Step 3: Cross multiply
    30,771.57x = 42,464.78 × 16,624.41
  4. Step 4: Simplify right side
    30,771.57x = 705,951,913.28
  5. Step 5: Solve for x
    x = 705,951,913.28/30,771.57
  6. Step 6: Final answer
    x = 22,941.69

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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.