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Finding the Fourth Proportional to 53,537.50, 80,306.28 and 16,601.50

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Solution

The fourth proportional to 53,537.50, 80,306.28 and 16,601.50 is: 24,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,537.50 : 80,306.28 = 16,601.50 : x
  2. Step 2: Convert to fraction form
    53,537.50/80,306.28 = 16,601.50/x
  3. Step 3: Cross multiply
    53,537.50x = 80,306.28 × 16,601.50
  4. Step 4: Simplify right side
    53,537.50x = 1,333,204,707.42
  5. Step 5: Solve for x
    x = 1,333,204,707.42/53,537.50
  6. Step 6: Final answer
    x = 24,902.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.