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Finding the Fourth Proportional to 40,936, 56,491.68 and 23,272

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Solution

The fourth proportional to 40,936, 56,491.68 and 23,272 is: 32,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,936 : 56,491.68 = 23,272 : x
  2. Step 2: Convert to fraction form
    40,936/56,491.68 = 23,272/x
  3. Step 3: Cross multiply
    40,936x = 56,491.68 × 23,272
  4. Step 4: Simplify right side
    40,936x = 1,314,674,376.96
  5. Step 5: Solve for x
    x = 1,314,674,376.96/40,936
  6. Step 6: Final answer
    x = 32,115.36

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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.