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Finding the Fourth Proportional to 71,954.19, 107,946 and 25,239.87

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Solution

The fourth proportional to 71,954.19, 107,946 and 25,239.87 is: 37,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,954.19 : 107,946 = 25,239.87 : x
  2. Step 2: Convert to fraction form
    71,954.19/107,946 = 25,239.87/x
  3. Step 3: Cross multiply
    71,954.19x = 107,946 × 25,239.87
  4. Step 4: Simplify right side
    71,954.19x = 2,724,543,007.02
  5. Step 5: Solve for x
    x = 2,724,543,007.02/71,954.19
  6. Step 6: Final answer
    x = 37,864.97

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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.