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Finding the Fourth Proportional to 36,138.84, 49,870.46 and 20,005.16

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Solution

The fourth proportional to 36,138.84, 49,870.46 and 20,005.16 is: 27,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,138.84 : 49,870.46 = 20,005.16 : x
  2. Step 2: Convert to fraction form
    36,138.84/49,870.46 = 20,005.16/x
  3. Step 3: Cross multiply
    36,138.84x = 49,870.46 × 20,005.16
  4. Step 4: Simplify right side
    36,138.84x = 997,666,531.57
  5. Step 5: Solve for x
    x = 997,666,531.57/36,138.84
  6. Step 6: Final answer
    x = 27,606.49

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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.