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Finding the Fourth Proportional to 53,409.16, 79,910.16 and 33,149.08

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Solution

The fourth proportional to 53,409.16, 79,910.16 and 33,149.08 is: 49,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,409.16 : 79,910.16 = 33,149.08 : x
  2. Step 2: Convert to fraction form
    53,409.16/79,910.16 = 33,149.08/x
  3. Step 3: Cross multiply
    53,409.16x = 79,910.16 × 33,149.08
  4. Step 4: Simplify right side
    53,409.16x = 2,648,948,286.65
  5. Step 5: Solve for x
    x = 2,648,948,286.65/53,409.16
  6. Step 6: Final answer
    x = 49,597.27

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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.