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Finding the Fourth Proportional to 52,029.65, 71,801.09 and 28,156.31

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Solution

The fourth proportional to 52,029.65, 71,801.09 and 28,156.31 is: 38,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,029.65 : 71,801.09 = 28,156.31 : x
  2. Step 2: Convert to fraction form
    52,029.65/71,801.09 = 28,156.31/x
  3. Step 3: Cross multiply
    52,029.65x = 71,801.09 × 28,156.31
  4. Step 4: Simplify right side
    52,029.65x = 2,021,654,185.69
  5. Step 5: Solve for x
    x = 2,021,654,185.69/52,029.65
  6. Step 6: Final answer
    x = 38,855.81

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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.