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Finding the Fourth Proportional to 53,097.38, 73,287.15 and 35,193.14

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Solution

The fourth proportional to 53,097.38, 73,287.15 and 35,193.14 is: 48,574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,097.38 : 73,287.15 = 35,193.14 : x
  2. Step 2: Convert to fraction form
    53,097.38/73,287.15 = 35,193.14/x
  3. Step 3: Cross multiply
    53,097.38x = 73,287.15 × 35,193.14
  4. Step 4: Simplify right side
    53,097.38x = 2,579,204,930.15
  5. Step 5: Solve for x
    x = 2,579,204,930.15/53,097.38
  6. Step 6: Final answer
    x = 48,574.99

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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.