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Finding the Fourth Proportional to 52,050.22, 71,829.22 and 28,176.89

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Solution

The fourth proportional to 52,050.22, 71,829.22 and 28,176.89 is: 38,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,050.22 : 71,829.22 = 28,176.89 : x
  2. Step 2: Convert to fraction form
    52,050.22/71,829.22 = 28,176.89/x
  3. Step 3: Cross multiply
    52,050.22x = 71,829.22 × 28,176.89
  4. Step 4: Simplify right side
    52,050.22x = 2,023,923,601.14
  5. Step 5: Solve for x
    x = 2,023,923,601.14/52,050.22
  6. Step 6: Final answer
    x = 38,884.06

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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.