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Finding the Fourth Proportional to 47,383.20, 71,076 and 16,218.24

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Solution

The fourth proportional to 47,383.20, 71,076 and 16,218.24 is: 24,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,383.20 : 71,076 = 16,218.24 : x
  2. Step 2: Convert to fraction form
    47,383.20/71,076 = 16,218.24/x
  3. Step 3: Cross multiply
    47,383.20x = 71,076 × 16,218.24
  4. Step 4: Simplify right side
    47,383.20x = 1,152,727,626.24
  5. Step 5: Solve for x
    x = 1,152,727,626.24/47,383.20
  6. Step 6: Final answer
    x = 24,327.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.