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Finding the Fourth Proportional to 38,063.56, 57,060.78 and 21,613

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Solution

The fourth proportional to 38,063.56, 57,060.78 and 21,613 is: 32,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,063.56 : 57,060.78 = 21,613 : x
  2. Step 2: Convert to fraction form
    38,063.56/57,060.78 = 21,613/x
  3. Step 3: Cross multiply
    38,063.56x = 57,060.78 × 21,613
  4. Step 4: Simplify right side
    38,063.56x = 1,233,254,638.14
  5. Step 5: Solve for x
    x = 1,233,254,638.14/38,063.56
  6. Step 6: Final answer
    x = 32,399.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.