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Finding the Fourth Proportional to 56,199.96, 77,531.58 and 33,831

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Solution

The fourth proportional to 56,199.96, 77,531.58 and 33,831 is: 46,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,199.96 : 77,531.58 = 33,831 : x
  2. Step 2: Convert to fraction form
    56,199.96/77,531.58 = 33,831/x
  3. Step 3: Cross multiply
    56,199.96x = 77,531.58 × 33,831
  4. Step 4: Simplify right side
    56,199.96x = 2,622,970,882.98
  5. Step 5: Solve for x
    x = 2,622,970,882.98/56,199.96
  6. Step 6: Final answer
    x = 46,672.11

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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.