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Finding the Fourth Proportional to 35,893.92, 49,546.98 and 30,837.90

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Solution

The fourth proportional to 35,893.92, 49,546.98 and 30,837.90 is: 42,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,893.92 : 49,546.98 = 30,837.90 : x
  2. Step 2: Convert to fraction form
    35,893.92/49,546.98 = 30,837.90/x
  3. Step 3: Cross multiply
    35,893.92x = 49,546.98 × 30,837.90
  4. Step 4: Simplify right side
    35,893.92x = 1,527,924,814.54
  5. Step 5: Solve for x
    x = 1,527,924,814.54/35,893.92
  6. Step 6: Final answer
    x = 42,567.79

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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.