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Finding the Fourth Proportional to 73,145.25, 109,717.92 and 17,741.25

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Solution

The fourth proportional to 73,145.25, 109,717.92 and 17,741.25 is: 26,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,145.25 : 109,717.92 = 17,741.25 : x
  2. Step 2: Convert to fraction form
    73,145.25/109,717.92 = 17,741.25/x
  3. Step 3: Cross multiply
    73,145.25x = 109,717.92 × 17,741.25
  4. Step 4: Simplify right side
    73,145.25x = 1,946,533,048.20
  5. Step 5: Solve for x
    x = 1,946,533,048.20/73,145.25
  6. Step 6: Final answer
    x = 26,611.89

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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.