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Finding the Fourth Proportional to 54,501.78, 75,199.32 and 31,827.90

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Solution

The fourth proportional to 54,501.78, 75,199.32 and 31,827.90 is: 43,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,501.78 : 75,199.32 = 31,827.90 : x
  2. Step 2: Convert to fraction form
    54,501.78/75,199.32 = 31,827.90/x
  3. Step 3: Cross multiply
    54,501.78x = 75,199.32 × 31,827.90
  4. Step 4: Simplify right side
    54,501.78x = 2,393,436,437.03
  5. Step 5: Solve for x
    x = 2,393,436,437.03/54,501.78
  6. Step 6: Final answer
    x = 43,914.83

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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.