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Finding the Fourth Proportional to 34,520.68, 51,770.94 and 19,726.84

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Solution

The fourth proportional to 34,520.68, 51,770.94 and 19,726.84 is: 29,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,520.68 : 51,770.94 = 19,726.84 : x
  2. Step 2: Convert to fraction form
    34,520.68/51,770.94 = 19,726.84/x
  3. Step 3: Cross multiply
    34,520.68x = 51,770.94 × 19,726.84
  4. Step 4: Simplify right side
    34,520.68x = 1,021,277,050.03
  5. Step 5: Solve for x
    x = 1,021,277,050.03/34,520.68
  6. Step 6: Final answer
    x = 29,584.50

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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.