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Finding the Fourth Proportional to 51,624, 71,252.87 and 30,410.10

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Solution

The fourth proportional to 51,624, 71,252.87 and 30,410.10 is: 41,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,624 : 71,252.87 = 30,410.10 : x
  2. Step 2: Convert to fraction form
    51,624/71,252.87 = 30,410.10/x
  3. Step 3: Cross multiply
    51,624x = 71,252.87 × 30,410.10
  4. Step 4: Simplify right side
    51,624x = 2,166,806,749.94
  5. Step 5: Solve for x
    x = 2,166,806,749.94/51,624
  6. Step 6: Final answer
    x = 41,972.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.