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Finding the Fourth Proportional to 64,911.10, 97,403.10 and 27,464.80

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Solution

The fourth proportional to 64,911.10, 97,403.10 and 27,464.80 is: 41,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,911.10 : 97,403.10 = 27,464.80 : x
  2. Step 2: Convert to fraction form
    64,911.10/97,403.10 = 27,464.80/x
  3. Step 3: Cross multiply
    64,911.10x = 97,403.10 × 27,464.80
  4. Step 4: Simplify right side
    64,911.10x = 2,675,156,660.88
  5. Step 5: Solve for x
    x = 2,675,156,660.88/64,911.10
  6. Step 6: Final answer
    x = 41,212.62

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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.