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Finding the Fourth Proportional to 72,004.20, 107,817.30 and 50,829.90

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Solution

The fourth proportional to 72,004.20, 107,817.30 and 50,829.90 is: 76,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,004.20 : 107,817.30 = 50,829.90 : x
  2. Step 2: Convert to fraction form
    72,004.20/107,817.30 = 50,829.90/x
  3. Step 3: Cross multiply
    72,004.20x = 107,817.30 × 50,829.90
  4. Step 4: Simplify right side
    72,004.20x = 5,480,342,577.27
  5. Step 5: Solve for x
    x = 5,480,342,577.27/72,004.20
  6. Step 6: Final answer
    x = 76,111.43

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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.