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Finding the Fourth Proportional to 53,509.68, 80,265.42 and 20,245.41

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Solution

The fourth proportional to 53,509.68, 80,265.42 and 20,245.41 is: 30,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,509.68 : 80,265.42 = 20,245.41 : x
  2. Step 2: Convert to fraction form
    53,509.68/80,265.42 = 20,245.41/x
  3. Step 3: Cross multiply
    53,509.68x = 80,265.42 × 20,245.41
  4. Step 4: Simplify right side
    53,509.68x = 1,625,006,336.72
  5. Step 5: Solve for x
    x = 1,625,006,336.72/53,509.68
  6. Step 6: Final answer
    x = 30,368.46

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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.