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Finding the Fourth Proportional to 52,738.68, 72,779.41 and 28,865.49

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Solution

The fourth proportional to 52,738.68, 72,779.41 and 28,865.49 is: 39,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,738.68 : 72,779.41 = 28,865.49 : x
  2. Step 2: Convert to fraction form
    52,738.68/72,779.41 = 28,865.49/x
  3. Step 3: Cross multiply
    52,738.68x = 72,779.41 × 28,865.49
  4. Step 4: Simplify right side
    52,738.68x = 2,100,813,331.56
  5. Step 5: Solve for x
    x = 2,100,813,331.56/52,738.68
  6. Step 6: Final answer
    x = 39,834.39

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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.