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Finding the Fourth Proportional to 52,200.20, 78,310.96 and 22,214.40

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Solution

The fourth proportional to 52,200.20, 78,310.96 and 22,214.40 is: 33,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,200.20 : 78,310.96 = 22,214.40 : x
  2. Step 2: Convert to fraction form
    52,200.20/78,310.96 = 22,214.40/x
  3. Step 3: Cross multiply
    52,200.20x = 78,310.96 × 22,214.40
  4. Step 4: Simplify right side
    52,200.20x = 1,739,630,989.82
  5. Step 5: Solve for x
    x = 1,739,630,989.82/52,200.20
  6. Step 6: Final answer
    x = 33,326.14

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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.