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Finding the Fourth Proportional to 36,784.50, 55,176.93 and 9,082.50

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Solution

The fourth proportional to 36,784.50, 55,176.93 and 9,082.50 is: 13,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784.50 : 55,176.93 = 9,082.50 : x
  2. Step 2: Convert to fraction form
    36,784.50/55,176.93 = 9,082.50/x
  3. Step 3: Cross multiply
    36,784.50x = 55,176.93 × 9,082.50
  4. Step 4: Simplify right side
    36,784.50x = 501,144,466.73
  5. Step 5: Solve for x
    x = 501,144,466.73/36,784.50
  6. Step 6: Final answer
    x = 13,623.79

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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.