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Finding the Fourth Proportional to 36,139.23, 49,874.13 and 20,225.16

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Solution

The fourth proportional to 36,139.23, 49,874.13 and 20,225.16 is: 27,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,139.23 : 49,874.13 = 20,225.16 : x
  2. Step 2: Convert to fraction form
    36,139.23/49,874.13 = 20,225.16/x
  3. Step 3: Cross multiply
    36,139.23x = 49,874.13 × 20,225.16
  4. Step 4: Simplify right side
    36,139.23x = 1,008,712,259.11
  5. Step 5: Solve for x
    x = 1,008,712,259.11/36,139.23
  6. Step 6: Final answer
    x = 27,911.84

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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.