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Finding the Fourth Proportional to 57,567.66, 86,388.24 and 27,969.36

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Solution

The fourth proportional to 57,567.66, 86,388.24 and 27,969.36 is: 41,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,567.66 : 86,388.24 = 27,969.36 : x
  2. Step 2: Convert to fraction form
    57,567.66/86,388.24 = 27,969.36/x
  3. Step 3: Cross multiply
    57,567.66x = 86,388.24 × 27,969.36
  4. Step 4: Simplify right side
    57,567.66x = 2,416,223,784.33
  5. Step 5: Solve for x
    x = 2,416,223,784.33/57,567.66
  6. Step 6: Final answer
    x = 41,971.90

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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.