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Finding the Fourth Proportional to 47,794.18, 71,692.98 and 12,733.96

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Solution

The fourth proportional to 47,794.18, 71,692.98 and 12,733.96 is: 19,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,794.18 : 71,692.98 = 12,733.96 : x
  2. Step 2: Convert to fraction form
    47,794.18/71,692.98 = 12,733.96/x
  3. Step 3: Cross multiply
    47,794.18x = 71,692.98 × 12,733.96
  4. Step 4: Simplify right side
    47,794.18x = 912,935,539.60
  5. Step 5: Solve for x
    x = 912,935,539.60/47,794.18
  6. Step 6: Final answer
    x = 19,101.40

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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.