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Finding the Fourth Proportional to 36,482.94, 54,939.12 and 31,858.38

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Solution

The fourth proportional to 36,482.94, 54,939.12 and 31,858.38 is: 47,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,482.94 : 54,939.12 = 31,858.38 : x
  2. Step 2: Convert to fraction form
    36,482.94/54,939.12 = 31,858.38/x
  3. Step 3: Cross multiply
    36,482.94x = 54,939.12 × 31,858.38
  4. Step 4: Simplify right side
    36,482.94x = 1,750,271,361.83
  5. Step 5: Solve for x
    x = 1,750,271,361.83/36,482.94
  6. Step 6: Final answer
    x = 47,975.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.