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Finding the Fourth Proportional to 56,397, 84,581.64 and 24,814.98

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Solution

The fourth proportional to 56,397, 84,581.64 and 24,814.98 is: 37,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,397 : 84,581.64 = 24,814.98 : x
  2. Step 2: Convert to fraction form
    56,397/84,581.64 = 24,814.98/x
  3. Step 3: Cross multiply
    56,397x = 84,581.64 × 24,814.98
  4. Step 4: Simplify right side
    56,397x = 2,098,891,704.97
  5. Step 5: Solve for x
    x = 2,098,891,704.97/56,397
  6. Step 6: Final answer
    x = 37,216.37

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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.