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Finding the Fourth Proportional to 72,162.48, 108,177.48 and 27,775.92

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Solution

The fourth proportional to 72,162.48, 108,177.48 and 27,775.92 is: 41,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,162.48 : 108,177.48 = 27,775.92 : x
  2. Step 2: Convert to fraction form
    72,162.48/108,177.48 = 27,775.92/x
  3. Step 3: Cross multiply
    72,162.48x = 108,177.48 × 27,775.92
  4. Step 4: Simplify right side
    72,162.48x = 3,004,729,030.28
  5. Step 5: Solve for x
    x = 3,004,729,030.28/72,162.48
  6. Step 6: Final answer
    x = 41,638.38

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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.