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Finding the Fourth Proportional to 97,837.88, 135,016.27 and 53,125.88

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Solution

The fourth proportional to 97,837.88, 135,016.27 and 53,125.88 is: 73,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,837.88 : 135,016.27 = 53,125.88 : x
  2. Step 2: Convert to fraction form
    97,837.88/135,016.27 = 53,125.88/x
  3. Step 3: Cross multiply
    97,837.88x = 135,016.27 × 53,125.88
  4. Step 4: Simplify right side
    97,837.88x = 7,172,857,350.17
  5. Step 5: Solve for x
    x = 7,172,857,350.17/97,837.88
  6. Step 6: Final answer
    x = 73,313.71

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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.