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Finding the Fourth Proportional to 31,791.69, 47,703.93 and 13,085.55

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Solution

The fourth proportional to 31,791.69, 47,703.93 and 13,085.55 is: 19,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791.69 : 47,703.93 = 13,085.55 : x
  2. Step 2: Convert to fraction form
    31,791.69/47,703.93 = 13,085.55/x
  3. Step 3: Cross multiply
    31,791.69x = 47,703.93 × 13,085.55
  4. Step 4: Simplify right side
    31,791.69x = 624,232,161.21
  5. Step 5: Solve for x
    x = 624,232,161.21/31,791.69
  6. Step 6: Final answer
    x = 19,635.07

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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.