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Finding the Fourth Proportional to 53,006.48, 79,512.48 and 13,563.84

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Solution

The fourth proportional to 53,006.48, 79,512.48 and 13,563.84 is: 20,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,006.48 : 79,512.48 = 13,563.84 : x
  2. Step 2: Convert to fraction form
    53,006.48/79,512.48 = 13,563.84/x
  3. Step 3: Cross multiply
    53,006.48x = 79,512.48 × 13,563.84
  4. Step 4: Simplify right side
    53,006.48x = 1,078,494,556.72
  5. Step 5: Solve for x
    x = 1,078,494,556.72/53,006.48
  6. Step 6: Final answer
    x = 20,346.47

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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.