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Finding the Fourth Proportional to 57,390.46, 86,090.64 and 15,837.46

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Solution

The fourth proportional to 57,390.46, 86,090.64 and 15,837.46 is: 23,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,390.46 : 86,090.64 = 15,837.46 : x
  2. Step 2: Convert to fraction form
    57,390.46/86,090.64 = 15,837.46/x
  3. Step 3: Cross multiply
    57,390.46x = 86,090.64 × 15,837.46
  4. Step 4: Simplify right side
    57,390.46x = 1,363,457,067.37
  5. Step 5: Solve for x
    x = 1,363,457,067.37/57,390.46
  6. Step 6: Final answer
    x = 23,757.56

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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.