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Finding the Fourth Proportional to 72,884.69, 100,581.23 and 41,054.09

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Solution

The fourth proportional to 72,884.69, 100,581.23 and 41,054.09 is: 56,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,884.69 : 100,581.23 = 41,054.09 : x
  2. Step 2: Convert to fraction form
    72,884.69/100,581.23 = 41,054.09/x
  3. Step 3: Cross multiply
    72,884.69x = 100,581.23 × 41,054.09
  4. Step 4: Simplify right side
    72,884.69x = 4,129,270,663.46
  5. Step 5: Solve for x
    x = 4,129,270,663.46/72,884.69
  6. Step 6: Final answer
    x = 56,654.84

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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.