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Finding the Fourth Proportional to 35,684.92, 49,245 and 20,577.46

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Solution

The fourth proportional to 35,684.92, 49,245 and 20,577.46 is: 28,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,684.92 : 49,245 = 20,577.46 : x
  2. Step 2: Convert to fraction form
    35,684.92/49,245 = 20,577.46/x
  3. Step 3: Cross multiply
    35,684.92x = 49,245 × 20,577.46
  4. Step 4: Simplify right side
    35,684.92x = 1,013,337,017.70
  5. Step 5: Solve for x
    x = 1,013,337,017.70/35,684.92
  6. Step 6: Final answer
    x = 28,396.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.