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Finding the Fourth Proportional to 52,940.47, 73,052.47 and 31,719.19

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Solution

The fourth proportional to 52,940.47, 73,052.47 and 31,719.19 is: 43,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,940.47 : 73,052.47 = 31,719.19 : x
  2. Step 2: Convert to fraction form
    52,940.47/73,052.47 = 31,719.19/x
  3. Step 3: Cross multiply
    52,940.47x = 73,052.47 × 31,719.19
  4. Step 4: Simplify right side
    52,940.47x = 2,317,165,175.90
  5. Step 5: Solve for x
    x = 2,317,165,175.90/52,940.47
  6. Step 6: Final answer
    x = 43,769.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.