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Finding the Fourth Proportional to 36,130.16, 49,864.20 and 21,982.16

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Solution

The fourth proportional to 36,130.16, 49,864.20 and 21,982.16 is: 30,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,130.16 : 49,864.20 = 21,982.16 : x
  2. Step 2: Convert to fraction form
    36,130.16/49,864.20 = 21,982.16/x
  3. Step 3: Cross multiply
    36,130.16x = 49,864.20 × 21,982.16
  4. Step 4: Simplify right side
    36,130.16x = 1,096,122,822.67
  5. Step 5: Solve for x
    x = 1,096,122,822.67/36,130.16
  6. Step 6: Final answer
    x = 30,338.17

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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.