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Finding the Fourth Proportional to 53,080.96, 79,632.96 and 16,144

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Solution

The fourth proportional to 53,080.96, 79,632.96 and 16,144 is: 24,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,080.96 : 79,632.96 = 16,144 : x
  2. Step 2: Convert to fraction form
    53,080.96/79,632.96 = 16,144/x
  3. Step 3: Cross multiply
    53,080.96x = 79,632.96 × 16,144
  4. Step 4: Simplify right side
    53,080.96x = 1,285,594,506.24
  5. Step 5: Solve for x
    x = 1,285,594,506.24/53,080.96
  6. Step 6: Final answer
    x = 24,219.50

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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.