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Finding the Fourth Proportional to 31,034.54, 46,559.07 and 8,848.24

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Solution

The fourth proportional to 31,034.54, 46,559.07 and 8,848.24 is: 13,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034.54 : 46,559.07 = 8,848.24 : x
  2. Step 2: Convert to fraction form
    31,034.54/46,559.07 = 8,848.24/x
  3. Step 3: Cross multiply
    31,034.54x = 46,559.07 × 8,848.24
  4. Step 4: Simplify right side
    31,034.54x = 411,965,709.14
  5. Step 5: Solve for x
    x = 411,965,709.14/31,034.54
  6. Step 6: Final answer
    x = 13,274.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.