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Finding the Fourth Proportional to 53,105.25, 79,657.88 and 16,169.25

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Solution

The fourth proportional to 53,105.25, 79,657.88 and 16,169.25 is: 24,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,105.25 : 79,657.88 = 16,169.25 : x
  2. Step 2: Convert to fraction form
    53,105.25/79,657.88 = 16,169.25/x
  3. Step 3: Cross multiply
    53,105.25x = 79,657.88 × 16,169.25
  4. Step 4: Simplify right side
    53,105.25x = 1,288,008,095.34
  5. Step 5: Solve for x
    x = 1,288,008,095.34/53,105.25
  6. Step 6: Final answer
    x = 24,253.88

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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.