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Finding the Fourth Proportional to 64,812.96, 97,220.97 and 17,428.14

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Solution

The fourth proportional to 64,812.96, 97,220.97 and 17,428.14 is: 26,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,812.96 : 97,220.97 = 17,428.14 : x
  2. Step 2: Convert to fraction form
    64,812.96/97,220.97 = 17,428.14/x
  3. Step 3: Cross multiply
    64,812.96x = 97,220.97 × 17,428.14
  4. Step 4: Simplify right side
    64,812.96x = 1,694,380,676.10
  5. Step 5: Solve for x
    x = 1,694,380,676.10/64,812.96
  6. Step 6: Final answer
    x = 26,142.62

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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.