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Finding the Fourth Proportional to 56,717, 85,114.46 and 19,781

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Solution

The fourth proportional to 56,717, 85,114.46 and 19,781 is: 29,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,717 : 85,114.46 = 19,781 : x
  2. Step 2: Convert to fraction form
    56,717/85,114.46 = 19,781/x
  3. Step 3: Cross multiply
    56,717x = 85,114.46 × 19,781
  4. Step 4: Simplify right side
    56,717x = 1,683,649,133.26
  5. Step 5: Solve for x
    x = 1,683,649,133.26/56,717
  6. Step 6: Final answer
    x = 29,685.09

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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.