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Finding the Fourth Proportional to 64,834.82, 97,290.49 and 27,392.46

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Solution

The fourth proportional to 64,834.82, 97,290.49 and 27,392.46 is: 41,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,834.82 : 97,290.49 = 27,392.46 : x
  2. Step 2: Convert to fraction form
    64,834.82/97,290.49 = 27,392.46/x
  3. Step 3: Cross multiply
    64,834.82x = 97,290.49 × 27,392.46
  4. Step 4: Simplify right side
    64,834.82x = 2,665,025,855.71
  5. Step 5: Solve for x
    x = 2,665,025,855.71/64,834.82
  6. Step 6: Final answer
    x = 41,104.85

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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.