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Finding the Fourth Proportional to 31,033.40, 46,557.39 and 8,847.09

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Solution

The fourth proportional to 31,033.40, 46,557.39 and 8,847.09 is: 13,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.40 : 46,557.39 = 8,847.09 : x
  2. Step 2: Convert to fraction form
    31,033.40/46,557.39 = 8,847.09/x
  3. Step 3: Cross multiply
    31,033.40x = 46,557.39 × 8,847.09
  4. Step 4: Simplify right side
    31,033.40x = 411,897,419.50
  5. Step 5: Solve for x
    x = 411,897,419.50/31,033.40
  6. Step 6: Final answer
    x = 13,272.71

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Why These Related Problems?

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