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Finding the Fourth Proportional to 56,743.36, 85,078.48 and 27,160.48

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Solution

The fourth proportional to 56,743.36, 85,078.48 and 27,160.48 is: 40,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,743.36 : 85,078.48 = 27,160.48 : x
  2. Step 2: Convert to fraction form
    56,743.36/85,078.48 = 27,160.48/x
  3. Step 3: Cross multiply
    56,743.36x = 85,078.48 × 27,160.48
  4. Step 4: Simplify right side
    56,743.36x = 2,310,772,354.47
  5. Step 5: Solve for x
    x = 2,310,772,354.47/56,743.36
  6. Step 6: Final answer
    x = 40,723.22

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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.