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Finding the Fourth Proportional to 56,813.84, 85,231.56 and 25,649

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Solution

The fourth proportional to 56,813.84, 85,231.56 and 25,649 is: 38,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,813.84 : 85,231.56 = 25,649 : x
  2. Step 2: Convert to fraction form
    56,813.84/85,231.56 = 25,649/x
  3. Step 3: Cross multiply
    56,813.84x = 85,231.56 × 25,649
  4. Step 4: Simplify right side
    56,813.84x = 2,186,104,282.44
  5. Step 5: Solve for x
    x = 2,186,104,282.44/56,813.84
  6. Step 6: Final answer
    x = 38,478.38

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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.