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Finding the Fourth Proportional to 34,163.60, 51,261.23 and 13,096.61

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Solution

The fourth proportional to 34,163.60, 51,261.23 and 13,096.61 is: 19,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,163.60 : 51,261.23 = 13,096.61 : x
  2. Step 2: Convert to fraction form
    34,163.60/51,261.23 = 13,096.61/x
  3. Step 3: Cross multiply
    34,163.60x = 51,261.23 × 13,096.61
  4. Step 4: Simplify right side
    34,163.60x = 671,348,113.87
  5. Step 5: Solve for x
    x = 671,348,113.87/34,163.60
  6. Step 6: Final answer
    x = 19,650.98

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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.