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Finding the Fourth Proportional to 75,171.51, 103,735.44 and 41,179.68

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Solution

The fourth proportional to 75,171.51, 103,735.44 and 41,179.68 is: 56,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,171.51 : 103,735.44 = 41,179.68 : x
  2. Step 2: Convert to fraction form
    75,171.51/103,735.44 = 41,179.68/x
  3. Step 3: Cross multiply
    75,171.51x = 103,735.44 × 41,179.68
  4. Step 4: Simplify right side
    75,171.51x = 4,271,792,223.86
  5. Step 5: Solve for x
    x = 4,271,792,223.86/75,171.51
  6. Step 6: Final answer
    x = 56,827.28

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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.