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Finding the Fourth Proportional to 53,122.80, 79,647.30 and 23,524.50

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Solution

The fourth proportional to 53,122.80, 79,647.30 and 23,524.50 is: 35,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,122.80 : 79,647.30 = 23,524.50 : x
  2. Step 2: Convert to fraction form
    53,122.80/79,647.30 = 23,524.50/x
  3. Step 3: Cross multiply
    53,122.80x = 79,647.30 × 23,524.50
  4. Step 4: Simplify right side
    53,122.80x = 1,873,662,908.85
  5. Step 5: Solve for x
    x = 1,873,662,908.85/53,122.80
  6. Step 6: Final answer
    x = 35,270.41

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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.