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Finding the Fourth Proportional to 52,011.42, 71,775.69 and 28,138.02

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Solution

The fourth proportional to 52,011.42, 71,775.69 and 28,138.02 is: 38,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,011.42 : 71,775.69 = 28,138.02 : x
  2. Step 2: Convert to fraction form
    52,011.42/71,775.69 = 28,138.02/x
  3. Step 3: Cross multiply
    52,011.42x = 71,775.69 × 28,138.02
  4. Step 4: Simplify right side
    52,011.42x = 2,019,625,800.73
  5. Step 5: Solve for x
    x = 2,019,625,800.73/52,011.42
  6. Step 6: Final answer
    x = 38,830.43

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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.