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Finding the Fourth Proportional to 38,741.44, 53,460.80 and 21,748

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Solution

The fourth proportional to 38,741.44, 53,460.80 and 21,748 is: 30,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,741.44 : 53,460.80 = 21,748 : x
  2. Step 2: Convert to fraction form
    38,741.44/53,460.80 = 21,748/x
  3. Step 3: Cross multiply
    38,741.44x = 53,460.80 × 21,748
  4. Step 4: Simplify right side
    38,741.44x = 1,162,665,478.40
  5. Step 5: Solve for x
    x = 1,162,665,478.40/38,741.44
  6. Step 6: Final answer
    x = 30,010.90

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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.