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Finding the Fourth Proportional to 97,967.93, 146,993.51 and 53,542.79

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Solution

The fourth proportional to 97,967.93, 146,993.51 and 53,542.79 is: 80,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,967.93 : 146,993.51 = 53,542.79 : x
  2. Step 2: Convert to fraction form
    97,967.93/146,993.51 = 53,542.79/x
  3. Step 3: Cross multiply
    97,967.93x = 146,993.51 × 53,542.79
  4. Step 4: Simplify right side
    97,967.93x = 7,870,441,634.61
  5. Step 5: Solve for x
    x = 7,870,441,634.61/97,967.93
  6. Step 6: Final answer
    x = 80,336.92

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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.