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Finding the Fourth Proportional to 35,930.64, 49,584.80 and 20,619.68

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Solution

The fourth proportional to 35,930.64, 49,584.80 and 20,619.68 is: 28,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,930.64 : 49,584.80 = 20,619.68 : x
  2. Step 2: Convert to fraction form
    35,930.64/49,584.80 = 20,619.68/x
  3. Step 3: Cross multiply
    35,930.64x = 49,584.80 × 20,619.68
  4. Step 4: Simplify right side
    35,930.64x = 1,022,422,884.38
  5. Step 5: Solve for x
    x = 1,022,422,884.38/35,930.64
  6. Step 6: Final answer
    x = 28,455.46

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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.