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Finding the Fourth Proportional to 97,998, 135,237.24 and 53,286

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Solution

The fourth proportional to 97,998, 135,237.24 and 53,286 is: 73,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998 : 135,237.24 = 53,286 : x
  2. Step 2: Convert to fraction form
    97,998/135,237.24 = 53,286/x
  3. Step 3: Cross multiply
    97,998x = 135,237.24 × 53,286
  4. Step 4: Simplify right side
    97,998x = 7,206,251,570.64
  5. Step 5: Solve for x
    x = 7,206,251,570.64/97,998
  6. Step 6: Final answer
    x = 73,534.68

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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.