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Finding the Fourth Proportional to 47,692.85, 65,819.12 and 26,472.47

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Solution

The fourth proportional to 47,692.85, 65,819.12 and 26,472.47 is: 36,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.85 : 65,819.12 = 26,472.47 : x
  2. Step 2: Convert to fraction form
    47,692.85/65,819.12 = 26,472.47/x
  3. Step 3: Cross multiply
    47,692.85x = 65,819.12 × 26,472.47
  4. Step 4: Simplify right side
    47,692.85x = 1,742,394,218.17
  5. Step 5: Solve for x
    x = 1,742,394,218.17/47,692.85
  6. Step 6: Final answer
    x = 36,533.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.