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Finding the Fourth Proportional to 36,152.91, 54,227.76 and 9,857.66

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Solution

The fourth proportional to 36,152.91, 54,227.76 and 9,857.66 is: 14,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,152.91 : 54,227.76 = 9,857.66 : x
  2. Step 2: Convert to fraction form
    36,152.91/54,227.76 = 9,857.66/x
  3. Step 3: Cross multiply
    36,152.91x = 54,227.76 × 9,857.66
  4. Step 4: Simplify right side
    36,152.91x = 534,558,549.50
  5. Step 5: Solve for x
    x = 534,558,549.50/36,152.91
  6. Step 6: Final answer
    x = 14,786.04

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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.