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Finding the Fourth Proportional to 73,312.48, 109,968.24 and 17,908

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Solution

The fourth proportional to 73,312.48, 109,968.24 and 17,908 is: 26,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,312.48 : 109,968.24 = 17,908 : x
  2. Step 2: Convert to fraction form
    73,312.48/109,968.24 = 17,908/x
  3. Step 3: Cross multiply
    73,312.48x = 109,968.24 × 17,908
  4. Step 4: Simplify right side
    73,312.48x = 1,969,311,241.92
  5. Step 5: Solve for x
    x = 1,969,311,241.92/73,312.48
  6. Step 6: Final answer
    x = 26,861.88

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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.