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Finding the Fourth Proportional to 37,586.50, 51,869.37 and 22,682.50

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Solution

The fourth proportional to 37,586.50, 51,869.37 and 22,682.50 is: 31,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586.50 : 51,869.37 = 22,682.50 : x
  2. Step 2: Convert to fraction form
    37,586.50/51,869.37 = 22,682.50/x
  3. Step 3: Cross multiply
    37,586.50x = 51,869.37 × 22,682.50
  4. Step 4: Simplify right side
    37,586.50x = 1,176,526,985.03
  5. Step 5: Solve for x
    x = 1,176,526,985.03/37,586.50
  6. Step 6: Final answer
    x = 31,301.85

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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.