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Finding the Fourth Proportional to 75,166.92, 103,731.42 and 41,174.64

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Solution

The fourth proportional to 75,166.92, 103,731.42 and 41,174.64 is: 56,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,166.92 : 103,731.42 = 41,174.64 : x
  2. Step 2: Convert to fraction form
    75,166.92/103,731.42 = 41,174.64/x
  3. Step 3: Cross multiply
    75,166.92x = 103,731.42 × 41,174.64
  4. Step 4: Simplify right side
    75,166.92x = 4,271,103,875.19
  5. Step 5: Solve for x
    x = 4,271,103,875.19/75,166.92
  6. Step 6: Final answer
    x = 56,821.59

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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.