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Finding the Fourth Proportional to 52,269.48, 78,354 and 33,496.92

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Solution

The fourth proportional to 52,269.48, 78,354 and 33,496.92 is: 50,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,269.48 : 78,354 = 33,496.92 : x
  2. Step 2: Convert to fraction form
    52,269.48/78,354 = 33,496.92/x
  3. Step 3: Cross multiply
    52,269.48x = 78,354 × 33,496.92
  4. Step 4: Simplify right side
    52,269.48x = 2,624,617,669.68
  5. Step 5: Solve for x
    x = 2,624,617,669.68/52,269.48
  6. Step 6: Final answer
    x = 50,213.20

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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.