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Finding the Fourth Proportional to 34,738.20, 52,101.90 and 9,775.80

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Solution

The fourth proportional to 34,738.20, 52,101.90 and 9,775.80 is: 14,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,738.20 : 52,101.90 = 9,775.80 : x
  2. Step 2: Convert to fraction form
    34,738.20/52,101.90 = 9,775.80/x
  3. Step 3: Cross multiply
    34,738.20x = 52,101.90 × 9,775.80
  4. Step 4: Simplify right side
    34,738.20x = 509,337,754.02
  5. Step 5: Solve for x
    x = 509,337,754.02/34,738.20
  6. Step 6: Final answer
    x = 14,662.18

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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.