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Finding the Fourth Proportional to 47,692.56, 71,551.80 and 16,530.24

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Solution

The fourth proportional to 47,692.56, 71,551.80 and 16,530.24 is: 24,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.56 : 71,551.80 = 16,530.24 : x
  2. Step 2: Convert to fraction form
    47,692.56/71,551.80 = 16,530.24/x
  3. Step 3: Cross multiply
    47,692.56x = 71,551.80 × 16,530.24
  4. Step 4: Simplify right side
    47,692.56x = 1,182,768,426.43
  5. Step 5: Solve for x
    x = 1,182,768,426.43/47,692.56
  6. Step 6: Final answer
    x = 24,799.85

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Why These Related Problems?

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