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Finding the Fourth Proportional to 27,702, 38,228.96 and 15,126.75

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Solution

The fourth proportional to 27,702, 38,228.96 and 15,126.75 is: 20,875.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702 : 38,228.96 = 15,126.75 : x
  2. Step 2: Convert to fraction form
    27,702/38,228.96 = 15,126.75/x
  3. Step 3: Cross multiply
    27,702x = 38,228.96 × 15,126.75
  4. Step 4: Simplify right side
    27,702x = 578,279,958.50
  5. Step 5: Solve for x
    x = 578,279,958.50/27,702
  6. Step 6: Final answer
    x = 20,875.03

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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.