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Finding the Fourth Proportional to 52,696.88, 78,949.62 and 30,463.29

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Solution

The fourth proportional to 52,696.88, 78,949.62 and 30,463.29 is: 45,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,696.88 : 78,949.62 = 30,463.29 : x
  2. Step 2: Convert to fraction form
    52,696.88/78,949.62 = 30,463.29/x
  3. Step 3: Cross multiply
    52,696.88x = 78,949.62 × 30,463.29
  4. Step 4: Simplify right side
    52,696.88x = 2,405,065,169.45
  5. Step 5: Solve for x
    x = 2,405,065,169.45/52,696.88
  6. Step 6: Final answer
    x = 45,639.61

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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.