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Finding the Fourth Proportional to 34,505.76, 51,806.03 and 17,877.27

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Solution

The fourth proportional to 34,505.76, 51,806.03 and 17,877.27 is: 26,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,505.76 : 51,806.03 = 17,877.27 : x
  2. Step 2: Convert to fraction form
    34,505.76/51,806.03 = 17,877.27/x
  3. Step 3: Cross multiply
    34,505.76x = 51,806.03 × 17,877.27
  4. Step 4: Simplify right side
    34,505.76x = 926,150,385.94
  5. Step 5: Solve for x
    x = 926,150,385.94/34,505.76
  6. Step 6: Final answer
    x = 26,840.46

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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.