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Finding the Fourth Proportional to 34,682.97, 52,040.25 and 14,697.93

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Solution

The fourth proportional to 34,682.97, 52,040.25 and 14,697.93 is: 22,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,682.97 : 52,040.25 = 14,697.93 : x
  2. Step 2: Convert to fraction form
    34,682.97/52,040.25 = 14,697.93/x
  3. Step 3: Cross multiply
    34,682.97x = 52,040.25 × 14,697.93
  4. Step 4: Simplify right side
    34,682.97x = 764,883,951.68
  5. Step 5: Solve for x
    x = 764,883,951.68/34,682.97
  6. Step 6: Final answer
    x = 22,053.59

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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.