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Finding the Fourth Proportional to 52,029.80, 71,801.31 and 28,156.47

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Solution

The fourth proportional to 52,029.80, 71,801.31 and 28,156.47 is: 38,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,029.80 : 71,801.31 = 28,156.47 : x
  2. Step 2: Convert to fraction form
    52,029.80/71,801.31 = 28,156.47/x
  3. Step 3: Cross multiply
    52,029.80x = 71,801.31 × 28,156.47
  4. Step 4: Simplify right side
    52,029.80x = 2,021,671,200.44
  5. Step 5: Solve for x
    x = 2,021,671,200.44/52,029.80
  6. Step 6: Final answer
    x = 38,856.02

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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.