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Finding the Fourth Proportional to 24,754.36, 37,098.68 and 21,452

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Solution

The fourth proportional to 24,754.36, 37,098.68 and 21,452 is: 32,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,754.36 : 37,098.68 = 21,452 : x
  2. Step 2: Convert to fraction form
    24,754.36/37,098.68 = 21,452/x
  3. Step 3: Cross multiply
    24,754.36x = 37,098.68 × 21,452
  4. Step 4: Simplify right side
    24,754.36x = 795,840,883.36
  5. Step 5: Solve for x
    x = 795,840,883.36/24,754.36
  6. Step 6: Final answer
    x = 32,149.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.