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Finding the Fourth Proportional to 46,404.20, 69,638.70 and 20,127.80

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Solution

The fourth proportional to 46,404.20, 69,638.70 and 20,127.80 is: 30,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,404.20 : 69,638.70 = 20,127.80 : x
  2. Step 2: Convert to fraction form
    46,404.20/69,638.70 = 20,127.80/x
  3. Step 3: Cross multiply
    46,404.20x = 69,638.70 × 20,127.80
  4. Step 4: Simplify right side
    46,404.20x = 1,401,673,825.86
  5. Step 5: Solve for x
    x = 1,401,673,825.86/46,404.20
  6. Step 6: Final answer
    x = 30,205.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.