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Finding the Fourth Proportional to 37,871.16, 52,253.82 and 25,287

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Solution

The fourth proportional to 37,871.16, 52,253.82 and 25,287 is: 34,890.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,871.16 : 52,253.82 = 25,287 : x
  2. Step 2: Convert to fraction form
    37,871.16/52,253.82 = 25,287/x
  3. Step 3: Cross multiply
    37,871.16x = 52,253.82 × 25,287
  4. Step 4: Simplify right side
    37,871.16x = 1,321,342,346.34
  5. Step 5: Solve for x
    x = 1,321,342,346.34/37,871.16
  6. Step 6: Final answer
    x = 34,890.46

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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.