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Finding the Fourth Proportional to 53,234.69, 79,852.03 and 13,791.80

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Solution

The fourth proportional to 53,234.69, 79,852.03 and 13,791.80 is: 20,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,234.69 : 79,852.03 = 13,791.80 : x
  2. Step 2: Convert to fraction form
    53,234.69/79,852.03 = 13,791.80/x
  3. Step 3: Cross multiply
    53,234.69x = 79,852.03 × 13,791.80
  4. Step 4: Simplify right side
    53,234.69x = 1,101,303,392.50
  5. Step 5: Solve for x
    x = 1,101,303,392.50/53,234.69
  6. Step 6: Final answer
    x = 20,687.70

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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.