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Finding the Fourth Proportional to 56,946.96, 85,361 and 19,496

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Solution

The fourth proportional to 56,946.96, 85,361 and 19,496 is: 29,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,946.96 : 85,361 = 19,496 : x
  2. Step 2: Convert to fraction form
    56,946.96/85,361 = 19,496/x
  3. Step 3: Cross multiply
    56,946.96x = 85,361 × 19,496
  4. Step 4: Simplify right side
    56,946.96x = 1,664,198,056
  5. Step 5: Solve for x
    x = 1,664,198,056/56,946.96
  6. Step 6: Final answer
    x = 29,223.65

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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.