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Finding the Fourth Proportional to 38,256.50, 52,798.92 and 21,489.50

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Solution

The fourth proportional to 38,256.50, 52,798.92 and 21,489.50 is: 29,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,256.50 : 52,798.92 = 21,489.50 : x
  2. Step 2: Convert to fraction form
    38,256.50/52,798.92 = 21,489.50/x
  3. Step 3: Cross multiply
    38,256.50x = 52,798.92 × 21,489.50
  4. Step 4: Simplify right side
    38,256.50x = 1,134,622,391.34
  5. Step 5: Solve for x
    x = 1,134,622,391.34/38,256.50
  6. Step 6: Final answer
    x = 29,658.29

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