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Finding the Fourth Proportional to 52,805.38, 72,871.41 and 28,932.96

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Solution

The fourth proportional to 52,805.38, 72,871.41 and 28,932.96 is: 39,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,805.38 : 72,871.41 = 28,932.96 : x
  2. Step 2: Convert to fraction form
    52,805.38/72,871.41 = 28,932.96/x
  3. Step 3: Cross multiply
    52,805.38x = 72,871.41 × 28,932.96
  4. Step 4: Simplify right side
    52,805.38x = 2,108,385,590.67
  5. Step 5: Solve for x
    x = 2,108,385,590.67/52,805.38
  6. Step 6: Final answer
    x = 39,927.48

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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.