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Finding the Fourth Proportional to 53,135.60, 79,696.71 and 15,694.97

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Solution

The fourth proportional to 53,135.60, 79,696.71 and 15,694.97 is: 23,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,135.60 : 79,696.71 = 15,694.97 : x
  2. Step 2: Convert to fraction form
    53,135.60/79,696.71 = 15,694.97/x
  3. Step 3: Cross multiply
    53,135.60x = 79,696.71 × 15,694.97
  4. Step 4: Simplify right side
    53,135.60x = 1,250,837,074.07
  5. Step 5: Solve for x
    x = 1,250,837,074.07/53,135.60
  6. Step 6: Final answer
    x = 23,540.47

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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.