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Finding the Fourth Proportional to 53,156.52, 79,733.97 and 13,713.30

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Solution

The fourth proportional to 53,156.52, 79,733.97 and 13,713.30 is: 20,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,156.52 : 79,733.97 = 13,713.30 : x
  2. Step 2: Convert to fraction form
    53,156.52/79,733.97 = 13,713.30/x
  3. Step 3: Cross multiply
    53,156.52x = 79,733.97 × 13,713.30
  4. Step 4: Simplify right side
    53,156.52x = 1,093,415,850.80
  5. Step 5: Solve for x
    x = 1,093,415,850.80/53,156.52
  6. Step 6: Final answer
    x = 20,569.74

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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.