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Finding the Fourth Proportional to 38,562.96, 53,211.24 and 22,652.56

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Solution

The fourth proportional to 38,562.96, 53,211.24 and 22,652.56 is: 31,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,562.96 : 53,211.24 = 22,652.56 : x
  2. Step 2: Convert to fraction form
    38,562.96/53,211.24 = 22,652.56/x
  3. Step 3: Cross multiply
    38,562.96x = 53,211.24 × 22,652.56
  4. Step 4: Simplify right side
    38,562.96x = 1,205,370,806.77
  5. Step 5: Solve for x
    x = 1,205,370,806.77/38,562.96
  6. Step 6: Final answer
    x = 31,257.22

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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.