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Finding the Fourth Proportional to 72,170.48, 108,189.48 and 27,783.92

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Solution

The fourth proportional to 72,170.48, 108,189.48 and 27,783.92 is: 41,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,170.48 : 108,189.48 = 27,783.92 : x
  2. Step 2: Convert to fraction form
    72,170.48/108,189.48 = 27,783.92/x
  3. Step 3: Cross multiply
    72,170.48x = 108,189.48 × 27,783.92
  4. Step 4: Simplify right side
    72,170.48x = 3,005,927,857.16
  5. Step 5: Solve for x
    x = 3,005,927,857.16/72,170.48
  6. Step 6: Final answer
    x = 41,650.38

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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.