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Finding the Fourth Proportional to 52,213.63, 78,319.99 and 12,770.41

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Solution

The fourth proportional to 52,213.63, 78,319.99 and 12,770.41 is: 19,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,213.63 : 78,319.99 = 12,770.41 : x
  2. Step 2: Convert to fraction form
    52,213.63/78,319.99 = 12,770.41/x
  3. Step 3: Cross multiply
    52,213.63x = 78,319.99 × 12,770.41
  4. Step 4: Simplify right side
    52,213.63x = 1,000,178,383.50
  5. Step 5: Solve for x
    x = 1,000,178,383.50/52,213.63
  6. Step 6: Final answer
    x = 19,155.50

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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.