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Finding the Fourth Proportional to 54,482.42, 75,195.06 and 31,824.03

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Solution

The fourth proportional to 54,482.42, 75,195.06 and 31,824.03 is: 43,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,482.42 : 75,195.06 = 31,824.03 : x
  2. Step 2: Convert to fraction form
    54,482.42/75,195.06 = 31,824.03/x
  3. Step 3: Cross multiply
    54,482.42x = 75,195.06 × 31,824.03
  4. Step 4: Simplify right side
    54,482.42x = 2,393,009,845.29
  5. Step 5: Solve for x
    x = 2,393,009,845.29/54,482.42
  6. Step 6: Final answer
    x = 43,922.61

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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.