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Finding the Fourth Proportional to 78,657.20, 117,965.16 and 53,692.64

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Solution

The fourth proportional to 78,657.20, 117,965.16 and 53,692.64 is: 80,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657.20 : 117,965.16 = 53,692.64 : x
  2. Step 2: Convert to fraction form
    78,657.20/117,965.16 = 53,692.64/x
  3. Step 3: Cross multiply
    78,657.20x = 117,965.16 × 53,692.64
  4. Step 4: Simplify right side
    78,657.20x = 6,333,860,868.42
  5. Step 5: Solve for x
    x = 6,333,860,868.42/78,657.20
  6. Step 6: Final answer
    x = 80,524.87

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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.