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Finding the Fourth Proportional to 34,209.10, 51,313.65 and 20,212.30

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Solution

The fourth proportional to 34,209.10, 51,313.65 and 20,212.30 is: 30,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,209.10 : 51,313.65 = 20,212.30 : x
  2. Step 2: Convert to fraction form
    34,209.10/51,313.65 = 20,212.30/x
  3. Step 3: Cross multiply
    34,209.10x = 51,313.65 × 20,212.30
  4. Step 4: Simplify right side
    34,209.10x = 1,037,166,887.90
  5. Step 5: Solve for x
    x = 1,037,166,887.90/34,209.10
  6. Step 6: Final answer
    x = 30,318.45

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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.