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Finding the Fourth Proportional to 52,020.81, 71,788.41 and 28,147.28

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Solution

The fourth proportional to 52,020.81, 71,788.41 and 28,147.28 is: 38,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,020.81 : 71,788.41 = 28,147.28 : x
  2. Step 2: Convert to fraction form
    52,020.81/71,788.41 = 28,147.28/x
  3. Step 3: Cross multiply
    52,020.81x = 71,788.41 × 28,147.28
  4. Step 4: Simplify right side
    52,020.81x = 2,020,648,118.08
  5. Step 5: Solve for x
    x = 2,020,648,118.08/52,020.81
  6. Step 6: Final answer
    x = 38,843.07

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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.