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Finding the Fourth Proportional to 37,257, 51,388.62 and 24,506.16

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Solution

The fourth proportional to 37,257, 51,388.62 and 24,506.16 is: 33,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,257 : 51,388.62 = 24,506.16 : x
  2. Step 2: Convert to fraction form
    37,257/51,388.62 = 24,506.16/x
  3. Step 3: Cross multiply
    37,257x = 51,388.62 × 24,506.16
  4. Step 4: Simplify right side
    37,257x = 1,259,337,743.90
  5. Step 5: Solve for x
    x = 1,259,337,743.90/37,257
  6. Step 6: Final answer
    x = 33,801.37

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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.