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Finding the Fourth Proportional to 52,034.95, 71,791.46 and 31,870.81

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Solution

The fourth proportional to 52,034.95, 71,791.46 and 31,870.81 is: 43,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034.95 : 71,791.46 = 31,870.81 : x
  2. Step 2: Convert to fraction form
    52,034.95/71,791.46 = 31,870.81/x
  3. Step 3: Cross multiply
    52,034.95x = 71,791.46 × 31,870.81
  4. Step 4: Simplify right side
    52,034.95x = 2,288,051,622.33
  5. Step 5: Solve for x
    x = 2,288,051,622.33/52,034.95
  6. Step 6: Final answer
    x = 43,971.44

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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.