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Finding the Fourth Proportional to 37,919.36, 52,329.84 and 21,152

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Solution

The fourth proportional to 37,919.36, 52,329.84 and 21,152 is: 29,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,919.36 : 52,329.84 = 21,152 : x
  2. Step 2: Convert to fraction form
    37,919.36/52,329.84 = 21,152/x
  3. Step 3: Cross multiply
    37,919.36x = 52,329.84 × 21,152
  4. Step 4: Simplify right side
    37,919.36x = 1,106,880,775.68
  5. Step 5: Solve for x
    x = 1,106,880,775.68/37,919.36
  6. Step 6: Final answer
    x = 29,190.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.