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Finding the Fourth Proportional to 64,863.94, 97,305.94 and 27,424.12

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Solution

The fourth proportional to 64,863.94, 97,305.94 and 27,424.12 is: 41,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,863.94 : 97,305.94 = 27,424.12 : x
  2. Step 2: Convert to fraction form
    64,863.94/97,305.94 = 27,424.12/x
  3. Step 3: Cross multiply
    64,863.94x = 97,305.94 × 27,424.12
  4. Step 4: Simplify right side
    64,863.94x = 2,668,529,775.27
  5. Step 5: Solve for x
    x = 2,668,529,775.27/64,863.94
  6. Step 6: Final answer
    x = 41,140.42

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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.