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Finding the Fourth Proportional to 66,282.57, 99,423.81 and 31,224.96

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Solution

The fourth proportional to 66,282.57, 99,423.81 and 31,224.96 is: 46,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,282.57 : 99,423.81 = 31,224.96 : x
  2. Step 2: Convert to fraction form
    66,282.57/99,423.81 = 31,224.96/x
  3. Step 3: Cross multiply
    66,282.57x = 99,423.81 × 31,224.96
  4. Step 4: Simplify right side
    66,282.57x = 3,104,504,490.30
  5. Step 5: Solve for x
    x = 3,104,504,490.30/66,282.57
  6. Step 6: Final answer
    x = 46,837.42

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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.