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Finding the Fourth Proportional to 57,884.22, 86,829.69 and 22,345.71

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Solution

The fourth proportional to 57,884.22, 86,829.69 and 22,345.71 is: 33,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,884.22 : 86,829.69 = 22,345.71 : x
  2. Step 2: Convert to fraction form
    57,884.22/86,829.69 = 22,345.71/x
  3. Step 3: Cross multiply
    57,884.22x = 86,829.69 × 22,345.71
  4. Step 4: Simplify right side
    57,884.22x = 1,940,271,072.13
  5. Step 5: Solve for x
    x = 1,940,271,072.13/57,884.22
  6. Step 6: Final answer
    x = 33,519.86

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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.