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Finding the Fourth Proportional to 56,674, 85,012.80 and 17,231.46

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Solution

The fourth proportional to 56,674, 85,012.80 and 17,231.46 is: 25,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,674 : 85,012.80 = 17,231.46 : x
  2. Step 2: Convert to fraction form
    56,674/85,012.80 = 17,231.46/x
  3. Step 3: Cross multiply
    56,674x = 85,012.80 × 17,231.46
  4. Step 4: Simplify right side
    56,674x = 1,464,894,662.69
  5. Step 5: Solve for x
    x = 1,464,894,662.69/56,674
  6. Step 6: Final answer
    x = 25,847.74

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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.