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Finding the Fourth Proportional to 53,688.68, 80,520.78 and 20,412.44

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Solution

The fourth proportional to 53,688.68, 80,520.78 and 20,412.44 is: 30,614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,688.68 : 80,520.78 = 20,412.44 : x
  2. Step 2: Convert to fraction form
    53,688.68/80,520.78 = 20,412.44/x
  3. Step 3: Cross multiply
    53,688.68x = 80,520.78 × 20,412.44
  4. Step 4: Simplify right side
    53,688.68x = 1,643,625,590.50
  5. Step 5: Solve for x
    x = 1,643,625,590.50/53,688.68
  6. Step 6: Final answer
    x = 30,614.01

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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.