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Finding the Fourth Proportional to 36,101.40, 49,820.24 and 20,186.76

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Solution

The fourth proportional to 36,101.40, 49,820.24 and 20,186.76 is: 27,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,101.40 : 49,820.24 = 20,186.76 : x
  2. Step 2: Convert to fraction form
    36,101.40/49,820.24 = 20,186.76/x
  3. Step 3: Cross multiply
    36,101.40x = 49,820.24 × 20,186.76
  4. Step 4: Simplify right side
    36,101.40x = 1,005,709,228.02
  5. Step 5: Solve for x
    x = 1,005,709,228.02/36,101.40
  6. Step 6: Final answer
    x = 27,857.90

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