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Finding the Fourth Proportional to 52,846.68, 79,270.28 and 13,403.88

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Solution

The fourth proportional to 52,846.68, 79,270.28 and 13,403.88 is: 20,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,846.68 : 79,270.28 = 13,403.88 : x
  2. Step 2: Convert to fraction form
    52,846.68/79,270.28 = 13,403.88/x
  3. Step 3: Cross multiply
    52,846.68x = 79,270.28 × 13,403.88
  4. Step 4: Simplify right side
    52,846.68x = 1,062,529,320.69
  5. Step 5: Solve for x
    x = 1,062,529,320.69/52,846.68
  6. Step 6: Final answer
    x = 20,105.89

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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.