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Finding the Fourth Proportional to 34,506.26, 51,806.78 and 17,877.77

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Solution

The fourth proportional to 34,506.26, 51,806.78 and 17,877.77 is: 26,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506.26 : 51,806.78 = 17,877.77 : x
  2. Step 2: Convert to fraction form
    34,506.26/51,806.78 = 17,877.77/x
  3. Step 3: Cross multiply
    34,506.26x = 51,806.78 × 17,877.77
  4. Step 4: Simplify right side
    34,506.26x = 926,189,871.49
  5. Step 5: Solve for x
    x = 926,189,871.49/34,506.26
  6. Step 6: Final answer
    x = 26,841.21

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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.