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Finding the Fourth Proportional to 34,615.64, 51,945.54 and 12,428.56

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Solution

The fourth proportional to 34,615.64, 51,945.54 and 12,428.56 is: 18,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,615.64 : 51,945.54 = 12,428.56 : x
  2. Step 2: Convert to fraction form
    34,615.64/51,945.54 = 12,428.56/x
  3. Step 3: Cross multiply
    34,615.64x = 51,945.54 × 12,428.56
  4. Step 4: Simplify right side
    34,615.64x = 645,608,260.62
  5. Step 5: Solve for x
    x = 645,608,260.62/34,615.64
  6. Step 6: Final answer
    x = 18,650.77

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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.