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Finding the Fourth Proportional to 37,741.30, 52,098.84 and 25,479

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Solution

The fourth proportional to 37,741.30, 52,098.84 and 25,479 is: 35,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,741.30 : 52,098.84 = 25,479 : x
  2. Step 2: Convert to fraction form
    37,741.30/52,098.84 = 25,479/x
  3. Step 3: Cross multiply
    37,741.30x = 52,098.84 × 25,479
  4. Step 4: Simplify right side
    37,741.30x = 1,327,426,344.36
  5. Step 5: Solve for x
    x = 1,327,426,344.36/37,741.30
  6. Step 6: Final answer
    x = 35,171.72

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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.