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Finding the Fourth Proportional to 51,806.80, 77,748.60 and 34,270.80

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Solution

The fourth proportional to 51,806.80, 77,748.60 and 34,270.80 is: 51,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.80 : 77,748.60 = 34,270.80 : x
  2. Step 2: Convert to fraction form
    51,806.80/77,748.60 = 34,270.80/x
  3. Step 3: Cross multiply
    51,806.80x = 77,748.60 × 34,270.80
  4. Step 4: Simplify right side
    51,806.80x = 2,664,506,720.88
  5. Step 5: Solve for x
    x = 2,664,506,720.88/51,806.80
  6. Step 6: Final answer
    x = 51,431.60

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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.