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Finding the Fourth Proportional to 52,022.58, 71,790.93 and 28,149.68

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Solution

The fourth proportional to 52,022.58, 71,790.93 and 28,149.68 is: 38,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,022.58 : 71,790.93 = 28,149.68 : x
  2. Step 2: Convert to fraction form
    52,022.58/71,790.93 = 28,149.68/x
  3. Step 3: Cross multiply
    52,022.58x = 71,790.93 × 28,149.68
  4. Step 4: Simplify right side
    52,022.58x = 2,020,891,347.45
  5. Step 5: Solve for x
    x = 2,020,891,347.45/52,022.58
  6. Step 6: Final answer
    x = 38,846.43

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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.