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Finding the Fourth Proportional to 72,741.76, 109,111.80 and 20,149.28

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Solution

The fourth proportional to 72,741.76, 109,111.80 and 20,149.28 is: 30,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,741.76 : 109,111.80 = 20,149.28 : x
  2. Step 2: Convert to fraction form
    72,741.76/109,111.80 = 20,149.28/x
  3. Step 3: Cross multiply
    72,741.76x = 109,111.80 × 20,149.28
  4. Step 4: Simplify right side
    72,741.76x = 2,198,524,209.50
  5. Step 5: Solve for x
    x = 2,198,524,209.50/72,741.76
  6. Step 6: Final answer
    x = 30,223.69

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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.