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Finding the Fourth Proportional to 36,784, 55,176.14 and 9,082

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Solution

The fourth proportional to 36,784, 55,176.14 and 9,082 is: 13,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784 : 55,176.14 = 9,082 : x
  2. Step 2: Convert to fraction form
    36,784/55,176.14 = 9,082/x
  3. Step 3: Cross multiply
    36,784x = 55,176.14 × 9,082
  4. Step 4: Simplify right side
    36,784x = 501,109,703.48
  5. Step 5: Solve for x
    x = 501,109,703.48/36,784
  6. Step 6: Final answer
    x = 13,623.03

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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.