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Finding the Fourth Proportional to 34,145.50, 51,216.60 and 11,963.86

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Solution

The fourth proportional to 34,145.50, 51,216.60 and 11,963.86 is: 17,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,145.50 : 51,216.60 = 11,963.86 : x
  2. Step 2: Convert to fraction form
    34,145.50/51,216.60 = 11,963.86/x
  3. Step 3: Cross multiply
    34,145.50x = 51,216.60 × 11,963.86
  4. Step 4: Simplify right side
    34,145.50x = 612,748,232.08
  5. Step 5: Solve for x
    x = 612,748,232.08/34,145.50
  6. Step 6: Final answer
    x = 17,945.21

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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.