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Finding the Fourth Proportional to 51,894.66, 77,847.03 and 13,943.46

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Solution

The fourth proportional to 51,894.66, 77,847.03 and 13,943.46 is: 20,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,894.66 : 77,847.03 = 13,943.46 : x
  2. Step 2: Convert to fraction form
    51,894.66/77,847.03 = 13,943.46/x
  3. Step 3: Cross multiply
    51,894.66x = 77,847.03 × 13,943.46
  4. Step 4: Simplify right side
    51,894.66x = 1,085,456,948.92
  5. Step 5: Solve for x
    x = 1,085,456,948.92/51,894.66
  6. Step 6: Final answer
    x = 20,916.54

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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.