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Finding the Fourth Proportional to 72,829.75, 109,223.10 and 37,269.13

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Solution

The fourth proportional to 72,829.75, 109,223.10 and 37,269.13 is: 55,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,829.75 : 109,223.10 = 37,269.13 : x
  2. Step 2: Convert to fraction form
    72,829.75/109,223.10 = 37,269.13/x
  3. Step 3: Cross multiply
    72,829.75x = 109,223.10 × 37,269.13
  4. Step 4: Simplify right side
    72,829.75x = 4,070,649,912.90
  5. Step 5: Solve for x
    x = 4,070,649,912.90/72,829.75
  6. Step 6: Final answer
    x = 55,892.68

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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.