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Finding the Fourth Proportional to 37,282, 51,491.82 and 25,325.32

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Solution

The fourth proportional to 37,282, 51,491.82 and 25,325.32 is: 34,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,282 : 51,491.82 = 25,325.32 : x
  2. Step 2: Convert to fraction form
    37,282/51,491.82 = 25,325.32/x
  3. Step 3: Cross multiply
    37,282x = 51,491.82 × 25,325.32
  4. Step 4: Simplify right side
    37,282x = 1,304,046,818.88
  5. Step 5: Solve for x
    x = 1,304,046,818.88/37,282
  6. Step 6: Final answer
    x = 34,977.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.