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Finding the Fourth Proportional to 27,636, 38,137.68 and 15,060.75

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Solution

The fourth proportional to 27,636, 38,137.68 and 15,060.75 is: 20,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636 : 38,137.68 = 15,060.75 : x
  2. Step 2: Convert to fraction form
    27,636/38,137.68 = 15,060.75/x
  3. Step 3: Cross multiply
    27,636x = 38,137.68 × 15,060.75
  4. Step 4: Simplify right side
    27,636x = 574,382,064.06
  5. Step 5: Solve for x
    x = 574,382,064.06/27,636
  6. Step 6: Final answer
    x = 20,783.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.