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Finding the Fourth Proportional to 31,034.40, 46,558.89 and 8,848.09

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Solution

The fourth proportional to 31,034.40, 46,558.89 and 8,848.09 is: 13,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034.40 : 46,558.89 = 8,848.09 : x
  2. Step 2: Convert to fraction form
    31,034.40/46,558.89 = 8,848.09/x
  3. Step 3: Cross multiply
    31,034.40x = 46,558.89 × 8,848.09
  4. Step 4: Simplify right side
    31,034.40x = 411,957,249.02
  5. Step 5: Solve for x
    x = 411,957,249.02/31,034.40
  6. Step 6: Final answer
    x = 13,274.21

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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.