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Finding the Fourth Proportional to 102,553.83, 153,818.37 and 27,668.25

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Solution

The fourth proportional to 102,553.83, 153,818.37 and 27,668.25 is: 41,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,553.83 : 153,818.37 = 27,668.25 : x
  2. Step 2: Convert to fraction form
    102,553.83/153,818.37 = 27,668.25/x
  3. Step 3: Cross multiply
    102,553.83x = 153,818.37 × 27,668.25
  4. Step 4: Simplify right side
    102,553.83x = 4,255,885,115.75
  5. Step 5: Solve for x
    x = 4,255,885,115.75/102,553.83
  6. Step 6: Final answer
    x = 41,499.04

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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.