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Finding the Fourth Proportional to 34,809.80, 52,208 and 9,843.80

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Solution

The fourth proportional to 34,809.80, 52,208 and 9,843.80 is: 14,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809.80 : 52,208 = 9,843.80 : x
  2. Step 2: Convert to fraction form
    34,809.80/52,208 = 9,843.80/x
  3. Step 3: Cross multiply
    34,809.80x = 52,208 × 9,843.80
  4. Step 4: Simplify right side
    34,809.80x = 513,925,110.40
  5. Step 5: Solve for x
    x = 513,925,110.40/34,809.80
  6. Step 6: Final answer
    x = 14,763.81

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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.