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Finding the Fourth Proportional to 37,586, 51,868.68 and 22,682

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Solution

The fourth proportional to 37,586, 51,868.68 and 22,682 is: 31,301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586 : 51,868.68 = 22,682 : x
  2. Step 2: Convert to fraction form
    37,586/51,868.68 = 22,682/x
  3. Step 3: Cross multiply
    37,586x = 51,868.68 × 22,682
  4. Step 4: Simplify right side
    37,586x = 1,176,485,399.76
  5. Step 5: Solve for x
    x = 1,176,485,399.76/37,586
  6. Step 6: Final answer
    x = 31,301.16

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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.