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Finding the Fourth Proportional to 73,097.62, 109,646.43 and 27,513.88

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Solution

The fourth proportional to 73,097.62, 109,646.43 and 27,513.88 is: 41,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,097.62 : 109,646.43 = 27,513.88 : x
  2. Step 2: Convert to fraction form
    73,097.62/109,646.43 = 27,513.88/x
  3. Step 3: Cross multiply
    73,097.62x = 109,646.43 × 27,513.88
  4. Step 4: Simplify right side
    73,097.62x = 3,016,798,717.45
  5. Step 5: Solve for x
    x = 3,016,798,717.45/73,097.62
  6. Step 6: Final answer
    x = 41,270.82

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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.