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Finding the Fourth Proportional to 52,050.80, 71,830.09 and 28,177.45

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Solution

The fourth proportional to 52,050.80, 71,830.09 and 28,177.45 is: 38,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,050.80 : 71,830.09 = 28,177.45 : x
  2. Step 2: Convert to fraction form
    52,050.80/71,830.09 = 28,177.45/x
  3. Step 3: Cross multiply
    52,050.80x = 71,830.09 × 28,177.45
  4. Step 4: Simplify right side
    52,050.80x = 2,023,988,628.58
  5. Step 5: Solve for x
    x = 2,023,988,628.58/52,050.80
  6. Step 6: Final answer
    x = 38,884.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.